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Q12.

Expert-verified
Geometry
Found in: Page 431
Geometry

Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Illustration

Short Answer

Find the area of each figure:

An equilateral triangle with perimeter.18

The area of given figure is93 square units.

See the step by step solution

Step by Step Solution

Step 1. Analyze the given information.

Let the common sides be x

We know that in equilateral triangle all three sides are equal in length.

The perimeter of equilateral triangle18, which means the sum of all three sides will be equal to 18

x+x+x=18

3x=18

x=6

Thus, the sides of triangle are

6,6,6

Step 2. Concept used.

Area of an equilateral triangle can be found using the formula

A=34a2

Where,

a=The sides of triangle.

Step 3. Find the area of given figure.

A=34a2

=34(6)2

=3×3×3

=93 Square units.

Therefore, the area of given figure is93 square units.

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