Chapter 14.6, Problem 3PSA

To determine

To construct the isosceles tringle with given length.

Explanation of Solution

Given:

The leg.

Calculation:

The isosceles triangle with given leg can be constructed as follows-

Step 1- Draw the circle with the radius as the length of the leg.

Step 2- Choose any two points on the circumference.

Step 3- Join those two points to have a chord.

Step 4- Join the endpoints to the center of the circle toget the required isosceles triangle ABC.

To determine

To construct the isosceles tringle with given length.

Explanation of Solution

Given:

The hypotenuse.

Calculation:

The isosceles triangle with givenhypotenusecan be constructed as follows-

The right triangle given the hypotenuse and the altitude of the hypotenuse can be constructed as follows-

Step 1- Draw the hypotenuse of the given triangle.

Step 2- Use the length of the hypotenuse to draw a circle using it as the diameter.

Step 3- Draw a perpendicular to the hypotenuse.

Step 4- The point where the perpendicular meets the circle is a vertex. Join the vertex to the end points of the hypotenuse.