Chapter 14.6, Problem 8PSB

To determine

To construct the triangle with the given angles and the hypotenuse.

Explanation of Solution

Given:

The angles are ${30}^{\circ },{60}^{\circ }$ and ${90}^{\circ }$ .

Calculation:

The triangle with the angles are ${30}^{\circ },{60}^{\circ }$ and ${90}^{\circ }$ can be constructed as follows-

  

Step 1- Draw the hypotenuse of say $2\sqrt{3}$ unit.

Step 2- construct the angles of ${60}^{\circ }$ and ${30}^{\circ }$ on its endpoints respectively.

Step 3- Join all the remaining points.

Step 4- The above is the required right triangle with angles ${30}^{\circ },{60}^{\circ }$ and ${90}^{\circ }$ .