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Published byJennifer Gibbs Modified over 4 years ago

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The Pythagorean Theorem

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The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle

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Parts of a Right Triangle Leg Hypotenuse

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The Pythagorean Theorem a 2 + b 2 = c 2 a b c

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Example 1 Find the length of the hypotenuse. 3 4 c

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Example 2 Find the length of the hypotenuse. 6 8 c

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Example 3 Find the length of the hypotenuse 12 16 c

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Example 4 Find the length of the unknown side 12 13 b

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Example 5 Find the length of the unknown side. 17 15 a

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Example 7 Find the length of the unknown side. 25 24 b

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Pythagorean Triple All of the side lengths of the triangles we have looked at form Pythagorean Triples. If the side lengths of a right triangle are all whole numbers, they are called Pythagorean Triples.

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Pythagorean Triples List the Pythagorean Triples we have discussed.

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