Chapter 14.6, Problem 18PSC

To determine

To construct the righttriangle given the hypotenuse and the altitude of the hypotenuse.

Explanation of Solution

Given:

The hypotenuse and the altitude of the hypotenuse.

Calculation:

The righttriangle given the hypotenuse and the altitude of the hypotenusecan 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 right triangle.