   Chapter 5.CR, Problem 37CR 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 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=CBCDAB=10x

Then,

Consider the right triangle ΔACD

By Pythagoras theorem,

In a right triangle ΔABD

By Pythagoras theorem,

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