Monday, March 17, 2008

Jurrell's Pythagoras Growing Post

What is a Pythagorean Triple ?

This image shows that 6squared + 8squared = 10squared

A Pythagorean Triple is three unknown numbers, A, B, and C that satisfy a2+b2=c2 is a pythagorean triple.

6squared = 36 (6x6=36)

8squared = 36 (8x8=64)

10squared = 100 (10x10=-100)

This questions is saying, 36 + 64 = 100

How to Find the Hypotenuse/Missing Side.

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Word Problem: Baseball

Question: You've just picked up a ground ball at fisrt base, and you see the other teams player towards third base. How far do you have to throw the ball to get it from base to the third base and throw the runner out?

All i did was I followed the formula, A2 + B2 = C2, and the distance from 1st base to 3 base is the hypotenuse on the field. So what you have to do is square the numbers then them altogether, and finally square the answer of all the added numbers. The number that you get from squaring the sum of all the number is how much you have to throw the ball in order to get the other team out.

THE WAY I GOT IT:

a = 90squared

b = 90 squared

C = ???

90squared = 8,100

a2 = 8,100

b2 = 8,100

8,100 + 8,100 = c2

8,100 +8,100 = 16,200

Squareroot of 16,200 = c2

c = 127.28

Now in order to get the runner out you have to throw the ball 127.28 ft. (DISTANCE FROM 1ST BASE TO 3RD BASE IS 127.28)