   Chapter 11.4, Problem 44E 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

The sides of a rhombus have length a. Two adjacent sides meet to form acute angle θ . Use the formula from Exercise 41 to show that the area of the rhombus is given by A = a 2  sin  θ . Exercises 41 − 44

To determine

To Prove:

The area of the rhombus is A=a2sinθ unit2.

Explanation

Given,

In rhombus,

The sides of the length is a.

(i.e.) MN=PN=PQ=QM=a

Two adjacent sides meet to from acute angle θ.

(i.e.) M=P=θ

Use the formula from exercise 41,

A=absinγ unit2.

Here, b=a and γ=θ

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