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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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In Exercises 1 and 2, use the given information to find an expression for the area of Δ A B C . Give the answer in a form such as A = 1 2 ( 3 ) ( 4 )  sin 32 . See the figure for Exercises 1- 8.

a) a = 5 ,   b = 6 ,  and  γ = 78

b) a = 5 ,   b = 7 ,   α = 36  and  β = 88

Chapter 11.4, Problem 1E, In Exercises 1 and 2, use the given information to find an expression for the area of ABC. Give the

Exercises 1-8

To determine

a)

To find:

The area of the ABC in the form of A=12(a)(b) sin γ

If a=5, b=6, and γ=78

Explanation

1) Formula:

The area of an acute triangle equals one-half the product of the lengths of two sides and the sine of the included angle.

The area of the triangle ABC is given by,

A=12absinγ

2) Calculation:

Given,

In triangle ABC,

a=5b=6 andγ=78

The area of the triangle ABC A=12absinγ

To determine

b)

To find:

The area of the ABC in the form of A=12(a)(b) sin β

If a=5, b=7, α=36 and β=88

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