   Chapter 11.2, Problem 42E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

For Exercise 42 and 43, use the drawing and the formula from Exercise 41.Find the area of an isosceles triangle for which s = 10.6     c m and the measure of the vertex angle is 46 ∘ .

To determine

To find:

To the area of an isosceles triangle for which s=10.6cm and the measure of the vertex angle is 46 by using the following figure, Explanation

Consider the following figure,

The area of the triangle is given below,

A=s2sinθcosθ

Given that s=10.6cm and the measure of the vertex angle is 46.

From the above figure shows that the measure of the vertex angle is

2θ=46θ=462θ=23

Substitute the values in the area formula to get the following,

A=(10.6)2sin23cos23

Use the graphing calculator to find the following,

sin23=0

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