## Elementary Geometry for College Students (7th Edition)

Published by Cengage

# Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises - Page 527: 2b

#### Answer

Area = =$\frac{1}{2}$*(5.3)*(8.4)*sin 57°

#### Work Step by Step

Given, a=5.3, c=8.4, α = 36° , γ =87° As we know sum of all the angles of the triangle is 180° α + β +γ = 180° 36°+ β +87°=180° β = 57° By theorem 11.4.1 Area of triangle = $\frac{1}{2}$a*c*sinβ =$\frac{1}{2}$*(5.3)*(8.4)*sin 57°

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