Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

Find the area of each figure:
An equilateral triangle with perimeter.18

The area of given figure is $9 \sqrt{3}$ square units.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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

$x + x + x = 18$

$3 x = 18$

$x = 6$

Thus, the sides of triangle are

$6, 6, 6$

Step 2. Concept used.

Area of an equilateral triangle can be found using the formula

$A = \frac{\sqrt{3}}{4} a^{2}$

Where,

a=The sides of triangle.

Step 3. Find the area of given figure.

$A = \frac{\sqrt{3}}{4} a^{2}$

$= \frac{\sqrt{3}}{4} {(6)}^{2}$

$= \sqrt{3} \times 3 \times 3$

$= 9 \sqrt{3}$ Square units.

Therefore, the area of given figure is $9 \sqrt{3}$ square units.

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Geometry

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Short Answer

Find the area of each figure:
An equilateral triangle with perimeter.18

Step by Step Solution

Step 1. Analyze the given information.

Step 2. Concept used.

Step 3. Find the area of given figure.

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Select your language

Geometry

Answers without the blur.

Short Answer

Find the area of each figure:An equilateral triangle with perimeter.18

Step by Step Solution

Step 1. Analyze the given information.

Step 2. Concept used.

Step 3. Find the area of given figure.

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Find the area of each figure:
An equilateral triangle with perimeter.18