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Lesson 10.1

Lesson 10.1. The Pythagorean Theorem. 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. c. a. b. The Pythagorean Theorem.

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Lesson 10.1

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  1. Lesson 10.1 • The Pythagorean Theorem

  2. 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. c a b

  3. The Pythagorean Theorem 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 .

  4. a a b c b c

  5. Lesson 10.2 • Converse of the Pythagorean Theorem

  6. 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...

  7. Pythagorean Triples Let’s test the side lengths of this triangle and determine if it is indeed a right triangle. 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.

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