wo sides of a triangle measure 4 and 13 and the angle at the vertex where those two sides meet measures 100 degrees. What is the measure of the hird side? A O 14.2 BO 3.2 CO 0.30 D 12.9

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Two sides of a triangle measure 4 and 13 and the angle at the vertex where those two sides meet measures 100 degrees. What is the measure of the
third side?
A O
14.2
В
3.2
0.30
DO
12.9
Transcribed Image Text:Two sides of a triangle measure 4 and 13 and the angle at the vertex where those two sides meet measures 100 degrees. What is the measure of the third side? A O 14.2 В 3.2 0.30 DO 12.9
Expert Solution
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Given that Two sides of triangle measure 4 and 13 and angle at vertex where those two sides meet measures 100 °To find : third side of triangle solution :using cosine formula In a triangle cosB=a2+c2-b22acwhere B=100°a=13,c=4cos100°=132+42-b221342134cos100°=132+42-b2b2=132+42-2134cos100°b=132+42-2134cos100°

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