Chapter 14.5, Problem 7PSA

To determine

To construct an isosceles right triangle and it’s inscribed circle.

Explanation of Solution

Given:

The circle.

Calculation:

The following are the construction steps-

Step 1- Draw a circle of any radius.

Step 2- Draw the diameter of the circle.

Step 3- Draw and angle of ${90}^{\circ }$ at the centre of the circle.

Step 4- Join all the points to get the isoscles right triangle ABC.

Step 5- The following figure has the isosceles right tirangle ABC inscribed in the circle.