Chapter 14.6, Problem 13PSB

To determine

To construct the isosceles triangle given thevertex and the altitude to the base.

Explanation of Solution

Given:

The vertex and the altitude to the base.

Calculation:

The isosceles triangle given the vertex and the altitude to the basecan be constructed as follows-

Step 1- Draw a line.

Step 2- Choose a point on it and then draw the altitude perpendicular to that point.

Step 3- Draw a line at angle half of the vertex angle from the end point of the altitude to meet the line.

Step 4- Similarly draw another line on other side of the altitude to get the vertex.

Step 5- Join all the vertices to get the required isosceles triangle.