Thursday, March 13, 2008

Karen's Pythagoras Growing Post

The pythagorean theorem states that the legs (a and b) and the hypotonuse (c) obey the following relationships a² +b² = c².

a²+b² = c²
Thats what you are doing when doing a pythagorean triple. You add the a² and b² to equal the c².

A² + B² = C²

6² + 8² = 10²

36 + 64 = 100

A = 6² = 36
B = 8² = 64
C = 10² = 100

So here we had 36+64 which equals 100. Which follows : A² + B² = C², so its a pythagorean triple.

We used perfect square charts to help us with a Pythagorean Triple.

Pythagoras Word Problem
Problem B
You’ve just picked up a ground ball at first base, and you see the other team’s player running towards third base. How far do you have to throw the ball to get it from first base to third base,
and throw the runner out?

Now that we know what the triangle is we can use the theorem and figure out what c equals

Suzie was getting a box on top of her fridge. Her fridge was 5m tall. Her hand was 4m away from the fridge. From her hand down it was 150cm. How far does Suzie need to reach for her to get the box. Answer to the nearest hundredth.

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