Finding the Hypotenuse

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Presentation transcript:

Finding the Hypotenuse

A baseball “diamond” is really a square. You can use the Pythagorean theorem to find distances around a baseball diamond. A baseball “diamond” is really a square. You can use the Pythagorean theorem to find distances around a baseball diamond.

Baseball Problem The distance between consecutive bases is 90 feet. How far does a catcher have to throw the ball from home plate to second base?

Baseball Problem Solution The hypotenuse is the distance from home to second, or side x in the picture. The legs are from home to first and from first to second. Solution: x2 = 902 + 902 = 16,200 x = 127.28 ft

Find the length of the hypotenuse if a = 12 and b = 16. 122 + 162 = c2 144 + 256 = c2 400 = c2 Take the square root of both sides. 20 = c

Finding the Hypotenuse A=6 B=8 C=x Step 1: plug the numbers into the formula. 6^2+8^2=x^2