   Chapter 11.4, Problem 44E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# 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

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