   Chapter 8.1, Problem 44E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Finding the Area of an Equilateral Triangle In Exercises 41-44, find the area of the equilateral triangle with sides of length s. See Example 4. s = 6   ft

To determine

To calculate: The area of the equilateral triangle with sides of length s=6 ft.

Explanation

Given Information:

The side of the equilateral triangle s is 6 ft.

Formula used:

Pythagorean theorem for any right triangle is such that,

c2=a2+b2

Where, a, b are the two perpendicular sides of a triangle and c is the length of hypotenuse.

The area of the equilateral triangle is,

A=12bh

Where, h is the height or altitude of the triangle and b is the base of triangle.

Calculation:

Consider the side of the triangle, s=6 ft

The figure provided below shows the triangle of side 6 ft and height h.

From the Pythagorean theorem.

h2+(62 ft)2=(6 ft)2h2+64 ft2=6 ft2h2=6 ft264 ft2h2=184 ft2

Further solve the equation

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