Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

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Presentation transcript:

Lesson 10.1 The Pythagorean Theorem

The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’ to represent the legs and ‘c’ to represent the hypotenuse. a b c

C-88: Pythagorean Theorem - In a right triangle, if a and b are lengths of the legs and c is the length of the hypotenuse, then.

a a b b c c

Lesson 10.2 Converse of the Pythagorean Theorem

Pythagorean Triples Pythagorean Triple: three positive integers that work in the Pythagorean Formula. Some popular sets are: 3,4,5 5,12,13, 6,8,10...

Pythagorean Triples C-89: Converse of the Pythagorean Theorem - If the lengths of the three sides of a triangle work in the Pythagorean formula, then the triangle is a right triangle. Let’s test the side lengths of this triangle and determine if it is indeed a right triangle.