Answered: The converse of the Pythagorean theorem…

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter1: The Six Trigonometric Functions

Section: Chapter Questions

Problem 3GP

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The converse of the Pythagorean theorem is also true. It states, “If the measures a, b, and c of the sides of a triangle are such that a² + b² = c², then the triangle is a right triangle with a and b the measures of the legs and c the measure of the hypotenuse.” Use the converse of the Pythagorean theorem to determine which of the triangles with sides of the following measures are right triangles. 19, 21, 26

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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