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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 11: Q4. (page 431)

Find the area of each figure.

Short Answer

Expert verified

The area of given figure is $4 \sqrt{3}$ Square units.

Step by step solution

01

Step 1. Given information.

The sides of triangle are 4 .

02

Step 2. Concept used.

An equilateral triangle is a triangle in which all three sides have the same length. So, the given triangle is an equilateral triangle as the sides of triangle are equal.

Area of equilateral triangle can be found using the formula

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

Where,

$a =$ Side of an equilateral triangle.

03

Step 3. Find the area of given figure.

Calculation:

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

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

$= 4 \sqrt{3}$ Square units

Therefore, the area of given figure is $4 \sqrt{3}$ Square units.

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Most popular questions from this chapter

Find the area of each figure:

A parallelogram with base $3 \sqrt{2}$ and corresponding height $2 \sqrt{2}$

The area of a rectangle is $55 c m^{2}$ and height 5cm.What is the base?

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