Pythagoras growing post

pythagorean triple
A pythagorean triple is 2 perfect square numbers when added together, equals another perfect square. You can use it to see if a triangle has a right angle. Use this formula: A2+b2=c2.
you can also use this perfect square chart to find out the squares in between

Angel's Pythagoras Growing Post

The Pythagorean Triple A Pythagorean triple is when you add 2 perfect squares together to get another perfect square. The formula for this is a² + b² = c².

To find out the squares in between you may also use a Perfect Square Chart :

A Pythagorean Triple is made up of perfect squares, another Pythagorean triple besides 3,4,and 5 is 6,8, and 10. Six squared is 36 Plus 64 from 8 squared equals 100 which is the square root of 10.



PART 2


PART 3 Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).

Worksheet A:
You’re locked out of your house and the only open window is on the 2nd floor 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There’s a bush along the edge of the house, so you’ll have to place the ladder 10 feet from the house. What length of the ladder do you need to reach the window?

PART 4

Bobby is trying to climb a mountain. It is said that the mountain stretches 2miles on all sides, the signs that tell you where to go to climb the mountain are 4 feet wide and 2 feet tall. The highest point of the mountain is 6miles upward. How many miles does bobby have to climb to reach the top?

Chris`s Pythagoras Growing Post

Part 1.

The parts with checkmarks are the Pythagorean Triples

















Part2

Part3

You're locked out of your house and the only open window is on the second floor, 25ft above the ground. You need to borrow a ladder from one of your neighbours. There's a bush along side the edge of the house, so you'll have to place the ladder 10ft from the house. What length of ladder do you need to reach the window?

1. Window is 25 ft above the ground.
2. Bush is near the edge of the house and you will have to place the ladder 10 ft from the house.
3. Must lean the ladder on an angle to get it to the house.























Part4

a new store called game mart just opened near your house. it is 3km away from your house to ebgames and then another 4km from ebgames to game mart. When you are going home from game mart you found a road leading from it to your house. how far is it from game mart to your house?

emilyr's pythagoras growing post

1)Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5.

Pythagorean Triple ; is a set of three numbers. that are squared [²] A² and B² are the legs of the triangle and C² is the hypotenuse. A² + B² = C² EXAMPLE ; 3, 4, 5 is a Pythagorean triple.

2)Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse (note: you may use numerical examples ie. a=4 b=6 c=?)


BubbleShare: Share photos - Play some Online Games.




3) Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).

Le Frog stands 1.5 m from the wall where a fly is 2 m high. If the frogs tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?



4) Now that you have seen many Pythagorean problems, create your own word problem.
The king has just grounded the princess and she can't leave the castle. Luckily she has an escape plan with some help from her boyfriend. Her boyfriend is standing outside the castle but is 15 feet meters away because a moat filled with water is in his way. Her boyfriend needs a ladder to reach the 50 foot high castle. Her boyfriend needs to know how long the ladder should be so he can save the princess ?

Jordan's Pythagoras Growing Post

- by Jordan Pabon 8-16

A pythagorean triple is 2 perfect square numbers when added together, equals another perfect square. You can use it to see if a triangle has a right angle. Use this formula:

you can also use this perfect square chart to find out the squares in between

For example:

Another example would be:

PART 2:

PART3:LEFROG

My own Problem: TIMMY AND THE RED BALL

Robby's Pythagoras Growing Post

Part 1:
What is a Pythagorean Triple?
-A Pythagorean Triple is 2 square numbers that when added together, equal another square number. The equation for one is:
a² + b² = c²

There are many Pythagorean Triples, but often are confusing to find because when you look at a number squared, like 5², you often ignore or don't see the little ² and end up multiplying by 2 instead of multiplying by 5 again, which is what you should have done. This mistake makes a big difference. 10 is a smaller than 25, and everybody knows that specific math questions have to have an exact answer. A number squared simply means that number times itself. The opposite of squaring is square rooting, which is finding what number times itself equals the larger number.

Anyway, here is my perfect square chart. The highlighted numbers or the ones that are the same color is 1 Pythagorean Triple.














Part 2:

Part 3:

Word Problems:

When reading math related word problems, underline important parts and circle the key numbers. Cross out unnecessary or unimportant information, if there is some:

A pictorial version of this problem would be:


The sides are 90 units because, since the measurements of the sides weren't given, you have to go to common sense for help. A square is 360 degrees, meaning it has 4 right angles (90 x 4 = 360). A triangle is half of a square, so it has 180 degrees (90 x 2 = 180) in angle. But we aren't finding the angle of the sides, but the length. So the degrees sign (°) is replaced with units (or u) in place of a measurement.
The new picture of the problem looks like this:

Now we can simply do the equation a² + b² = c² to solve this:
a² + b² = c²
90²+ 90²= c²
8100+8100=c²
16 200=c²

√16 200 = √c²

127.27= c

So the missing hypotenuse is 127.27 units in length. You have to throw the ball 127.27 units from first base to third base to get throw the runner out.

Part 4:
Create your own problem:

You are racing down the street on your new 10 speed bike. You see a ramp that 2 of your friend are hauling, and you must jump it to prove you aren't a noob. But your stupid friends are hauling it way further than they are supposed to, 3 meters left of you instead of being straight ahead of you. You are 10 meters away now and must swerve to jump the ramp and end up having to jump at an angle. How many meters do you have to swerve to get to that ramp?

Now, with the key parts highlighted:

Now to answer the question:
What we know:
a = 3 meters
b = 10 meters
c = ?

Here's a little doodle I made on how the problem would look.


Now that we have the numbers, we just do the equations and solve it.
a² + b² = c²
3² + 10² = c²
9 + 100 = c²
109 = c²

√109 = √c²
10 9/21 = c

10 9/11 = 10.42
c = 10.42
c²= 109

So, after solving what the missing side was, you now know that you must swerve 10.42 (closest to 10) meters to the left to jump the ramp. Once you do that, and don't break your neighbors car from jumping onto it, you can retire from your career of dare-deviling and get a nice job as a professional lawn mower.

The End (of Part 4 )

Romulo's Scribe Post

Scribe Post

Today in class we reviewed for our test this upcoming Thursday with 3 questions that Mr. Jerema gave us to do. The questions we did are shown in the pictures below.

Question 1

Question 2

Question 3

Robby's Scribe

Pythagorean Theorem: Problem A
You are locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a bush along the edge of the house, so you'll have to place the ladder 10 feet from the house. What length of ladder do you need to reach the window?In this picture I made of the problem, the bushes were removed, but we still have to solve the problem.
To find the missing side, you have to run through the Pythagorean Theorem and find out what the missing side is.
a = 25 feet
b = 10 feet
c = ?
a² + b² = c²
25² + 10² = c²
625 + 100 = c²
725 = c²
square root
of 725 = c²
Now we make the fractional then decimal form of the square root of 725.
Since 26 is 1 unit larger than 25, we have to square the number 26 and subtract that number from 725 (725 - 676).
27 x 27 = 729 - we can't use this because its larger than 725
26 x 26 = 676
So, back to the subtraction:
725 - 676 = 49
49 becomes the numerator of the fraction after 26.
To find the denominator, you have to add 26 with the number after it, which is 27
26 + 27 = 53.
The answer to 725 squared = 26 49/53
But we aren't done yet, we have to make it into a decimal form. *opens calculator*
26 49/53 = 26.924
26.924 = C
26.924² = c²
So the missing side length of the picture above is 26.924.























Another way we could have found the fraction after 26 is doing the "mullet" strategy.
















D = Denominator of fraction after 26

Andrea's Scribe

Jonah's Scribe Post

Today in class we were told to take out a piece of paper and copy what was on the board. It was a picture of a right angle triangle. We were supposed to find out the missing side we had 6 minutes to do it. The triangle looked like this:
We didn't know until the middle of working that what we were doing was a test. When we were done we had to mark it. To get full marks we had to have shown all of our work which included all of these things:

After we did the test we did something else in our blue Pythagoras booklet. We watched a scene of the movie Flushed Away and Mr. Jerema made it into a word problem. He drew a picture of a frog and we had to find out what was the missing side. But instead of looking at a picture we had a word problem. It looked like this:


The word problem was:
Le Frog (the name of the frog) stands 1.5 m from the wall where a fly is 2 m high. If the frogs tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly? We used the pythagorean theorem to solve the missing side, since the side that was missing was the hypotenuse.
a + b = c
1.3 (x 1.3) + 1.5 (x 1.5) = c
1.69 + 2.25 = c
c 2 = 3.94
c = 1.98


This is what we did in class. Sorry if I missed something. But I don't think I did. So...don't forget to do your Pythagoras Growing Post if you haven't started it yet.

Kenneth's Pythagoras Growing Post

Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5. (Note: You need a picture, not simply text.)
The Pythagorean Triple is a triangle that has 3 sides to it with a right angle. The small sides of the triangle are labeled (a and b) legs. The longer side is (c) or the hypotenuse, when you add the squared legs together it will add up to the hypotenuse. In other words as + bs = cs, when you put numbers to replace the letters you will get 3s + 4s = 5s = 9 + 15 = 25. ( the s stands for squared )

Jonah's Pythagoras Growing Post

Part 1:

Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5.
This a PERFECT SQUARE CHART it will help you to find a Pythagorean Triple:

In a right angle triangle, there are 3 sides. They are A and B (which are legs) and C (which is a hypotenuse). The Pythagorean Theorem states that a + b = c. ( Leg + Leg =Hypotenuse).
Part 2:
Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse.




Part 3:
Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).
First we circle all the numbers in the problem and underline all the important facts. It help us since if we put it all together then it will make more sense, by just picking out what is important. Then we draw a diagram of the question with all the information we gathered in the right places.
Once we have drawn the diagram we can answer the question.

Part 4:
Now that you have seen many Pythagorean problems, create your own word problem.

Tasha's Pythagoras Growing Post

The Pythagorean Triple

Part 1:
Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5. (Note: You need a picture, not simply text.)

-This perfect square chart can help you find the Pythagorean triple

A Pythagorean Triple is made up of perfect squares, another Pythagorean triple besides 3,4,and 5 is 6,8, and 10. Six squared is 36 Plus 64 from 8 squared equals 100 which is the square root of 10.

Part 2:Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse (note: you may use numerical examples ex. a=4 b=6 c=?)

Find the Missing Leg

BubbleShare: Share photos - Powered by BubbleShare

Find the Missing Hypotenuse

BubbleShare: Share photos - Powered by BubbleShare

Part 3:Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, Le Frog or Bonus Problem).

Le Frog stands 1.5 m from the wall where a fly is 2 m high. If the frogs tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?

Part 4:Now that you have seen many Pythagorean problems, create your own word problem.

Bob is at Best Buy, and is looking to buy a new flat screen t.v, but he didn't bring the measurements for his t.v stand, so he has to do some math thinking to see if his new t.v will fit. He knows that the TV screen is 15 inches long. If the diagonal measures 20 inches, how long is the width of Bob's TV?

Megan's Pythagoras Growing Post

"Describe what a pythagorean triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5."





The pythagorean triple shows us that the size of the legs (a & b) of a right angle triangle makes the square of the hypotenuse (c). The hyopotenuse or 'C' is found on the opposite side of the right angle and is the longest side of the triangle. (Which should be easy to spot.)
So basically, this means that the triple/formula for finding 'C' is A2(squared) + B2 = C2. The numbers A and B should be smaller then the number for C. Which means that C should have the largest number. Any numbers can be put for A, B and C as long as the equation works.


This is what a perfect square chart looks like:

( The black 2's stands for squared )

12 = 1
22 = 4
32 = 9
42 = 16
52 = 25
62 = 36
72 = 49
82 = 64
92 = 81
102 = 100

another example for pythagorean triple only reaching up to 10 is 6,8,10.

BubbleShare: Share photos - Powered by BubbleShare



PART 2!



BubbleShare: Share photos - Find great Clip Art Images.




PART 3

PART 4

MY OWN! XD
HAMTARO!!!!






AND....FINISHED!!