Chapter 14.5, Problem 5PSA

To determine

To construct the equilateral triangle and its inscribed circle.

Explanation of Solution

Given:

The given equilateral triangle.

Calculation:

The following are the construction steps-

Step 1- Draw the equilateral triangle and then draw an arc with the same measure from one of the points of intersection.

  

Step 2- Draw a line from the vertex to the point where the arcs intersect, do the same on the other two sides, and mark the point of concurrency.

  

Step 3- Get the radius by measuring the distance from the point of concurrency to the edge of the triangle. Now draw the circle of the same radius.