Question

The bases of Triangle A and Triangle B are equal. The ratio of the height of

Triangle A to the height of Triangle B is 4 : 5. If the height of Triangle A is
16 cm and its base is 12 cm, what is the area of Triangle B?

Answer 1

A = 120 cm²

Explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A =
`(1)/(2)` bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A =
`(1)/(2)` × 12 × 20 = 6 × 20 = 120 cm²