Chapter 11.CR, Problem 14CR

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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
*

Two sides of a parallelogram are 50 cm and 70 cm long. Find the length of the shorter diagonal if a larger angle of the parallelogram measures

To determine

**To find:**

The length of the shorter diagonal of a parallelogram.

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:**

Length of the sides of the parallelogram are 50 cm and 70 cm.

The larger angle

Let

From the above figure we have

The diagonal

To find the length of the shorter diagonal

By the property of parallelogram, consecutive angles of any parallelogram is supplementary

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