   Chapter 8.2, Problem 19E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In a triangle of perimeter 76 in., the length of the first side is twice the length of the second side, and the length of the third side is 12 in. more than the length of the second side. Find the lengths of the three sides.

To determine

To Find:

The length of the three sides of the triangle when it’s perimeter and relations are provided.

Explanation

Formula Used:

The perimeter of a polygon is the sum of the lengths of all sides of the polygon.

Calculation:

It is given that the triangle of perimeter 76 in.

Also given that the length of the first side is twice the length of the second side.

Let the length of the second side be x.

Then, the length of the first side must be 2x.

It is also given that the length of the third side is 12 in. more than the length of the second side. Therefore, the length of the third side must be x+12.

Perimeter of the triangle provided =2x+x+x+12=4x+12 sq. units.

This must be equal to 76

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