## 5.7 The Pythagorean Theorem

Pythagorean Theorem - a^2 + b^2 = c^2

Theorem 5-7-1 Converse of Pythagorean Theorem - If the sum of the squares of the

lengths of 2 sides of a triangle is = to the square of the length of the 3rd

side, then the triangle is a right triangle.

Theorem 5-7-2 Pythagorean Inequalities Theorem - If

c^2 > a^2 + b^2, then triangle ABC is an OBTUSE triangle; If c^2 < a^2 + b^2, then

triangle ABC is an ACUTE triangle.

Theorem 5-7-1 Converse of Pythagorean Theorem - If the sum of the squares of the

lengths of 2 sides of a triangle is = to the square of the length of the 3rd

side, then the triangle is a right triangle.

Theorem 5-7-2 Pythagorean Inequalities Theorem - If

c^2 > a^2 + b^2, then triangle ABC is an OBTUSE triangle; If c^2 < a^2 + b^2, then

triangle ABC is an ACUTE triangle.