Question

In the diagram below, the area of triangle BCD is 60. What is the area of triangle{BAD}?

Answer 1

36

Explanation:

Triangle BCD:

base = 15

height = BC = ?

area = 60

Solve for height.

area = base × height / 2

base × height = 2 × area

height = 2 × area / base

height = 2 × 60 / 15 = 8

height = BC = 8

Triangle BAD:

base = 9

height = BC = 8

area = base × height / 2

area = 9 × 8 / 2 = 36

Answer: 36