## Thursday, March 13, 2008

### Kathleen's Pythagoras Growing Post

Pythagorean Triple

What is a Pythagorean Triple?

• Three unknown numbers a, b, & c that satisfy a2 + b2 = c2 is a Pythagorean Triple.
**Most of the time they will give us what is a2 but not b2 and c2
For example
a=6 a2 = 63 b=8 b2 = 64 c=1o c2 = 100

a2 + b2 = c2

36 + 64 = 100

The picture of the pythagorean triple would look similar to this:

Part Two:

Part Three:

Lefrog

Question: Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

Summary: First we had to find out what our formula was going to be. For this question it would be a²+b²=c². Then we had to gather the information that was given to find out the lengths of a² and b² . a² was the length of how high the fly was up the wall (2m-0.70=1.3m), and b² was how far Lefrog stood from the wall(1.5). So since we already knew that information all we had to do was the calculations to find out what c² was. To do that all we had to do was add a² and b² together then find the square root of it, and then that gives you the answer to this question which was 1.98m.

Answer: Lefrog's tongue would have too stretch 1.98m to eat the fly

MATH WORK:

a= 2m - 0.7

= 1.3m

b= 1.5m

c= ?

use the formula:

a squared + b squared = c squared

1.3 + 1.5 = c squared

1.69 + 2.25 = c squared

c squared = 3.94

Squareroot 3.94 = 1.98m squared

c= 1.98m2

Part Four

Question:

Cindy went to climb up the slide. The slide has an 90 degree angle. She wanted to know how far she wanted to slide down. She knows at the height of the slide is 2 m and the length of the slide is 4. How far does she slide down? What is the missing hypotenuse?