Question

A triangle has a height that is

4/3

the length of its base. If the length of its base is 24 cm, what is its area?
A) 216 cm2
B) 384 cm2
C) 432 cm2
D) 600 cm2

Answer 1

Explanation:

`b \: = 24 \: cm \\ \\ \therefore \: h = (4)/(3) * 24 = 4 * 8 = 32 \: cm \\ \\ Area( \triangle) = (1)/(2) * b * h \\ \\ = (1)/(2) * 24 * 32 \\ \\ = 12 * 32 \\ \\ = 384 \: {cm}^(2)`

Thus, option (B) is the correct answer.