Pythagorean Theorem and Its Converse Chapter 8 Section 1.

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Presentation transcript:

Pythagorean Theorem and Its Converse Chapter 8 Section 1

Objective Students will use the Pythagorean Theorem and its converse.

Pythagorean Theorem (8-1) If a triangle is a right triangle, then the sum of the squares of the lengths of the legs is equal to the square of the length o the hypotenuse. A 2 + B 2 = C 2

Pythagorean Triple A set of nonzero whole numbers a, b, and c that satisfy the equation a 2 + b 2 = c 2. Any set of numbers that can be the side lengths of a right triangle

Turn to page 492… Look at Problem 1,2,3… Try the “Got It” problems for those examples.

Converse of the Pythagorean Theorem (8-2) If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangles is a right triangle.

Theorem 8-3 If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is obtuse.

Theorem 8-4 If the square of the length of the longest side of a triangles is less than the sum of the squares of the lengths of the other two sides, then the triangle is acute.

On page 495… Try problems #1-6 on your own.

Beginning on page 495… Complete problems #7-38.

Reflection/Exit Slip 1. What is the Pythagorean Theorem 2. Knowing what you know about congruent and similar triangles, when might you use the Pythagorean Theorem to solve a problem?