   Chapter 11.4, Problem 46E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Use Theorem 11.4.1 to show that the area of an equilateral triangle with sides of length s is given by A = s 2 4 3 .

To determine

To Prove:

The area of the equilateral triangle with sides of length s is A=s243 unit2.

Explanation

Given,

In the theorem,

The area of a acute triangle equals one half the product of lengths of two sides and the sine of the includes angle.

Here, the equilateral triangle has the angle 60 of each ends and each side s.

Thus the area of the equilateral triangle A=12absinγ unit2.

A=12(s)(s)sin60

A=12(s2)sin60

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

Evaluate the integrals in Problems 7-36. Check your results by differentiation. 27.

Mathematical Applications for the Management, Life, and Social Sciences

Evaluate the integral. 0/3sin+sintan2sec2d

Single Variable Calculus: Early Transcendentals, Volume I

Sometimes, Always, or Never: If for all n and both {an} and {cn} converge, then{bn} converges.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 