   Chapter 5.CR, Problem 38CR 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

Find the length of a side of an equilateral triangle if an altitude is 6 in. long.

To determine

To find:

Length of the side of an equilateral triangle.

Explanation

Given:

The altitude of the triangle is 6 inches.

Calculation:

The triangle is a equilateral triangle.

The altitude bisects into 30-60-90 triangle.

Let triangle be ABC.

Then,

We use the formula, Sin θ=Oppositehypotenuse

Here, θ=60 and Opposite is 6 in

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