## Sunday, March 16, 2008

### 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.)

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

Find the Missing Hypotenuse

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?