**Part 1**

**Pythagorean Triple:**

**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 is a perfect square chart from 1 squared to 10.

The Pythagorean Theorem states that the legs (a and b) and the hypotenuse (c) Also a squared must be the lowest number, and c must be the highest number. A right triangle obey the following relationship----> A2+B2=C2

Two other examples of Pythagorean Triple, using 6, 8, 10.

**Part 2**

**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**

__Missing Leg__This is what we know

a squared= ? squared

b squared= 32 squared

c squared= 40 squared

The formula is a + b = c

a + 32 squared = 40 squared

a + 1024 = 1600

To get a squared we need to subtract 32 squared (b) from 40 squared (c).

c-b=a

40 squared - 32 squared = a squared

1600 - 1024 = a

a = 576

576 = 24 squared

a squared= ? squared

b squared= 32 squared

c squared= 40 squared

__Missing Hypotenuse__

This is what we know

a squared = 96 squared

b squared = 128 squared

c squared = ? squared

Formula is a + b = c

96 squared + 128 squared = c squared

9216 + 16384 = c

c = 25600

25600 = 160 squared

96 squared + 128 squared = c squared

9216 + 16384 = c

c = 25600

25600 = 160 squared

a squared = 96 squared

b squared = 128 squared

c squared = 160 squared

__Pythagorean Triple Chart__3 squared + 4 squared = 5 squared

6 squared + 8 squared = 10 squared

12 squared + 16 squared = 20 squared

24 squared + 32 squared = 40 squared

48 squared + 64 squared = 80 squared

96 squared + 128 squared = 160 squared

192 squared + 256 squared = 320 squared

384 squared + 512 squared = 640 squared

6 squared + 8 squared = 10 squared

12 squared + 16 squared = 20 squared

24 squared + 32 squared = 40 squared

48 squared + 64 squared = 80 squared

96 squared + 128 squared = 160 squared

192 squared + 256 squared = 320 squared

384 squared + 512 squared = 640 squared

The pattern is to multiply each term by 2.

__Other Pythagorean Triple Chart I have found online__( 3, 4, 5)

( 5, 12, 13)

( 7, 24, 25)

( 8, 15, 17)

( 9, 40, 41)

(11, 60, 61)

(12, 35, 37)

(13, 84, 85)

(16, 63, 65)

(20, 21, 29)

(28, 45, 53)

(33, 56, 65)

(36, 77, 85)

(39, 80, 89)

(48, 55, 73)

(65, 72, 97)

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 circle all the important numbers, and underline all the important facts, to keep us organize.

Next draw a diagram of the question, and use the information that we've accumulated to label the appropriate areas.

Now use the pythagorean theorem to solve the missing side

The missing side is the hypotenuse.

What we know

a = 1.3m (0.7m - 2m)

b = 1.5m

c = ?m

Here is the pythagorean theorem

a squared + b squared = c squared

1.3m squared + 1.5 squared = c squared

1.69m + 2.25m = c squared

3.94m = c squared

3.94m square root = c squared square root

3.94m square root = c

1.98 = c (use a calculator, square root of 3.94)a = 1.3m

b = 1.5m

c = 1.98m

Mizz Froggy stands 8.9 m from the wall where a fly is 8 m high. If the frogs tongue comes out of his mouth 10 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?

## 1 comment:

wow. =o great start to your growing post!

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