Chapter 11.CR, Problem 17CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 13 to 17, use the Law of
*

Find the area of the rhombus in Exercise 15.

The length of the sides of a rhombus are 6 in. each, and the longer diagonal measures 11 in. Find the measure of each of the acute angles of the rhombus.

To determine

**To find:**

The area of the rhombus.

Explanation

**Calculation:**

**Given:**

The length of each side of a rhombus

The length of the longer diagonal

Let

From the above figure we have

First consider the triangle

Thus, in

Let

Now, apply the law of cosine in

Substitute; the above values in the Law of cosines,

Add;

By the associative property of addition we have

Divide by

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