Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 11 - Section 11.4 - Applications with Acute Triangles - Exercises: 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°
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.