Chapter 14.5, Problem 15PSB

To determine

To construct the circle which passes through all the points.

Explanation of Solution

Given:

The three non collinear points.

Calculation:

The circle that passes through three non collinear points can be constructed using the following steps-

Step 1- Draw triangle joining the three non collinear points ABC.

  

Step 2- Draw the perpendicular bisectors of all the lines as shown below-

  

Step 3- Draw a circle with the radius just found to see that it passes through all three non collinear points.