   Chapter 3.CR, Problem 25CR ### 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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# Given: Δ A B C is isosceles with base A B ¯ A B = y + 7 B C = 3 y + 5 A C = 9 − y Find: Whether Δ A B C is also equilateral Exercises 25, 26

To determine

Whether ΔABC is also equilateral.

Explanation

Definition:

The triangle whose all sides and angles are same is called equilateral triangle.

The triangle whose two sides are equal is called isosceles triangle.

Given:

The triangle ΔABC is shown in the figure below,

Figure (1)

From figure (1),

ΔABC is isosceles with base AB¯

AB=y+7BC=3y+5AC=9y

Calculation:

Consider the triangle ΔABC,

From the given data,

The triangle ΔABC is isosceles with base AB¯. Then,

AC=BC (1)

Substitute (9y) for AC and (3y+5) in equation (1)

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