   Chapter 8.1, Problem 42E ### 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
1 views

# 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 = 8   m

To determine

To calculate: The area of the equilateral triangle with sides of length s=8 m.

Explanation

Given Information:

The side of the equilateral triangle s is 8 m.

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=8 m

The figure provided below shows the triangle of side 8 m and height h.

From the Pythagorean theorem.

h2+(4 m)2=(8 m)2h2+16 m2=64 m2h2=64 m216 m2h2=48 m2

Further solve the equation

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