Answered: The lengths of the sides of a triangle…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.1: Law Of Sines

Problem 4ECP: Show that there is no triangle for which a=4 feet, b=14 feet, and A=60.

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The lengths of the sides of a triangle are 3t, 5t - 12, and t + 20.
a. Find the value(s) of t that make the triangle isosceles.
b. Does any value of t make the triangle equilateral? Explain.

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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