   Chapter 3.3, Problem 31E ### 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 Exercises 29 to 32, suppose that B C ¯ is the base of isosceles Δ A B C (not shown).Find x if the perimeter of Δ A B C is 40 , A B = x and B C = x + 4 .

To determine

To find:

The value of x.

Explanation

Procedure used:

(1) Perimeter of a triangle is the sum of the lengths of all three sides.

(2) Two legs of isosceles triangles have equal length.

Given:

BC¯ is the base of isosceles ΔABC, perimeter P=40, AB=x and BC=x+4.

Calculation:

BC¯ is the base of isosceles ΔABC, perimeter P=40, AB=x and BC=x+4.

Two legs of ΔABC are AB and AC

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