The triangle AABC and real number x > 0 are given. Let x² + x + 1, x2 + 2x, and 2x+1 be the lengths of the sides BC, AC, and AB, respecti- vely. Sort in descending order the lengths of the sides of a triangle. Prove ZCAB = 60°. Find the value of x such that the triangle ABC is right.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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4. The triangle AABC and real number x > 0 are given. Let x2 + x + 1,
x² + 2x, and 2x+1 be the lengths of the sides BC, AC, and AB, respecti-
vely. Sort in descending order the lengths of the sides of a triangle. Prove
ZCAB = 60°. Find the value of x such that the triangle ABC is right.
Transcribed Image Text:4. The triangle AABC and real number x > 0 are given. Let x2 + x + 1, x² + 2x, and 2x+1 be the lengths of the sides BC, AC, and AB, respecti- vely. Sort in descending order the lengths of the sides of a triangle. Prove ZCAB = 60°. Find the value of x such that the triangle ABC is right.
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