Chapter 5.CR, Problem 37CR

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

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

# Find the length of an altitude of an equilateral triangle if each side is 10 in. long.

To determine

To find:

Length of the altitude of an equilateral triangle.

Explanation

Given:

The each side of the equilateral triangle is 10 in.

Calculation:

Let ABC be the triangle with sides of length 10 in and altitude be AD

Let us take,

CD=xAB=CBâˆ’CDAB=10âˆ’x

Then,

Consider the right triangle Î”ACD

By Pythagoras theorem,

In a right triangle Î”ABD

By Pythagoras theorem,

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