Question

The parallel sides of a trapezoid have lengths 9 cm and 12 cm. Draw one diagonal, dividing the trapezoid into two triangles. What is the ratio of their areas?

Answer 1

Ratio of triangle = 3 : 4

Explanation:

Given:

Parallel sides = 9 cm , 12 cm

Find:

Ratio of triangle

Computation:

Assume height = h

Area of triangle = [1/2]bh

Area of triangle (1) = [1/2](9)h

Area of triangle (1) = 4.5 h

Area of triangle (2) = [1/2](12)h

Area of triangle (2) = 6 h

Ratio of triangle = 4.5 h / 6 h

Ratio of triangle = 3 : 4