Question

These two triangles are similar. If the base of △ A B C is 3 cm and the base of △ D E F is 7 cm, and the area of △ A B C is 7 cm², calculate the area of △ D E F. Round your answer to two decimal places.

Answer 1

38.11 cm^2

Explanation:

DEF is larger than ABC

therefore find the height of ABC

7 = 1/2 * 3 * h

h = 7 * 2/3

h = 14/3

So, lets find height for DEF, 7/3 = H/ 14/3

H = 98/9

A = 1/2 * 7 * 98/9

A = 38.11 cm^2