Chapter 14.6, Problem 20PSC

To determine

To construct thetriangle ABC with given parameters.

Explanation of Solution

Given:

The given lengths are $a,b$ and the point on the given length $b$ intersects side AC.

Calculation:

The triangle with lengths are $a,b$ and the point on the given length $b$ intersects side ACcan be constructed as follows-

Step 1- Draw the circle as the diameter equal to the hypotenuse of the given triangle.

Step 2- Drop the perpendicular to the hypotenuse from any point on the circle whose length equals to the altitude.

Step 3- Now, join all the three points.

Step 5- Join all the vertices to get the required triangle.