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Created by G. Antidormi 2003 The Pythagorean Theorem

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Created by G. Antidormi 2003 What is the Pythagorean Theorem used for? to find the length of a missing side in a right triangle 5 4 n

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Created by G. Antidormi 2003 Pythagorean Theorem Formula a 2 + b 2 = c 2 c represents the hypotenuse a and b represent the legs

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Created by G. Antidormi 2003 hypotenuse leg a b c

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Created by G. Antidormi 2003 Important bits of information The Pythagorean Theorem can only be used on a right triangle. The legs are always the sides adjacent (next to) the 90 degree angle. It does not matter which leg is a and which leg is b. c is always the hypotenuse (the slant)

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Created by G. Antidormi 2003 What is the length of the hypotenuse in the triangle below? 2 4 h a 2 + b 2 = c 2

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Created by G. Antidormi 2003 Plug in the value for each variable in the formula.

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Created by G. Antidormi 2003 What is the length of the hypotenuse in the triangle below? 2 4 h a 2 + b 2 = c 2 2 2 + 4 2 = h 2 4 + 16 = h 2 20 = h 2

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Created by G. Antidormi 2003 What is the length of the hypotenuse in the triangle below? 2 4 h a 2 + b 2 = c 2 2 2 + 4 2 = h 2 4 + 16 = h 2 20 = h 2 20= h 4.47 ~ ~ h

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Created by G. Antidormi 2003 Try this one... Find the hypotenuse of the right triangle below? 6 4 h

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Created by G. Antidormi 2003 Find the hypotenuse of the right triangle below? 6 4 h a 2 + b 2 = c 2 4 2 + 6 2 = h 2 16 + 36 = h 2 52 = h 2 52 = h 7.21 = h

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Created by G. Antidormi 2003 What is the length of the missing leg in the triangle below? 3 x 5 a 2 + b 2 = c 2 Try this one...

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Created by G. Antidormi 2003 Find the hypotenuse of the right triangle below? 5 3 x a 2 + b 2 = c 2 3 2 + x 2 = 5 2 9 + x 2 = 25 x 2 = 16 16x= x = 4 -9 - 9

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