Answered: Determine the number of triangles that…

Determine the number of triangles that satisfy the given set of conditions and then solve the triangle. b.) a = 54.0, c= 83.7, α= 43.6°

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter7: Locus And Concurrence

Section7.2: Concurrence Of Lines

Problem 15E: Draw a triangle and, by construction, find its incenter.

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Question

Determine the number of triangles that satisfy the given set of conditions and then solve the triangle.

b.) a = 54.0, c= 83.7, α= 43.6°

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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