   Chapter 8.1, Problem 41E ### 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 = 4   in .

To determine

To calculate: The area of the equilateral triangle with sides of length s=4 in.

Explanation

Given Information:

The side of the equilateral triangle s is 4 in.

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=4 in

The figure provided below shows the triangle of side 4 in and height h.

From the Pythagorean theorem.

h2+(2 in)2=(4 in)2h2+4 in2=16 in2h2=16 in24 in2h2=12

Further solve the equation

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 