Chapter 14.6, Problem 21PSC

To determine

To divide the given scalene triangle into a triangle and the trapezoid such that ratio of the area of the triangle and the area of the trapezoid is $1:8$ .

Explanation of Solution

Given:

The given scalene triangle.

Calculation:

The scalene trianglecan be divided as follows-

Step 1- Draw the scalene triangle.

Step 2- Measure the area of triangle.

Step 3- Draw another scalene triangle with the same area.

Step 4- Extend the lines $8$ times to have the trapezoid.

Step 5- Join all the points to have a triangle and the trapezoid such that ratio of the area of the triangle and the area of the trapezoid is $1:8$ .