   Chapter 11.4, Problem 13E 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

In Exercises 11 to 14, find the area of each triangle shown. Give the answer to the nearest tenth of a square unit. To determine

To find:

The area of the given triangle

Explanation

Formula:

The area of the triangle is given by,

A=12absinγ unit2.

A=12bcsinα unit2.

A=12acsinβ unit2.

Where a, b, and c are the measures of sides of the triangle, α, β, and γ are the acute angle of the triangle.

Calculation:

Given,

In triangle ABC,

a=6 ft,

β=70

γ=40

For Δ ABC

α+β+γ=180

α+70+40=180

α+110=180

Add 110 on both sides,

α+110110=180110

α=70

A=C,

(i

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