Chapter 14.6, Problem 16PSB

To determine

To construct anequilateral triangle given the altitude.

Explanation of Solution

Given:

The given altitude of the equilateral triangle.

Calculation:

The equilateral triangle whose altitude is givencan be constructed as follows-

Step 1- Draw a line.

Step 2- Draw a perpendicular on that line.

Step 3- From the end point of perpendicular, draw two ${30}^{\circ }$ lines on each side of the perpendicular to meet the base.

Step 4- Join all the vertices to get the required equilateral triangle as follows-