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Lesson 10.1

Learn about the Pythagorean Theorem, its applications in right triangles, and Pythagorean triples. Understand how to use ‘a’, ‘b’, and ‘c’ for sides and hypotenuse and test triangle side lengths to determine right angles.

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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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