The Pythagorean Theorem. 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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Presentation transcript:

The Pythagorean Theorem

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

Parts of a Right Triangle Leg Hypotenuse

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

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

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

Example 3 Find the length of the hypotenuse c

Example 4 Find the length of the unknown side b

Example 5 Find the length of the unknown side a

Example 7 Find the length of the unknown side b

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.

Pythagorean Triples List the Pythagorean Triples we have discussed.