Chapter 11.CR, Problem 15CR

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

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

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 measure of each of the acute angles of the rhombus.

Explanation

**Procedure used:**

In any triangle ABC such that

The Law of cosines is given by

The Law of sines is given by

**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

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