Chapter 14.6, Problem 10PSB

To determine

To construct the isosceles triangle given the base and radius of the circle.

Explanation of Solution

Given:

The length $b$ of the base and radius $R$ of the circumscribed circle and the condition is $b>2R$ .

Calculation:

The isosceles triangle given the base and radius of the circle can be constructed as follows-

Step 1- Draw the base.

Step 2- Draw the perpendicular bisector.

Step 3- Measure the length of $R$ and then cut the arcs on perpendicular bisector from one end of the base.

Step 4- The point of intersection is the center of the circumscribed circle.

Step 5- Draw the two tangents to the circle from the ends of the base.

Step 5- The points of intersection of the two tangents is the other vertex.