Question

The ratio of the height to the base of a triangle is 3:4. If the base is 24 cm, what is its

area?

Answer 1

216cm^2

Explanation:

If the ratio of height to base is 3:4 then

height = (3/4)*base

height = (3/4)*24cm = 18cm

Area = base*height/2 = 24cm * 18cm / 2 = 24cm * 9cm = 216cm^2

Answer 2

height = 18 cm

Explanation:

Let the height be 'x'

3 : 4 :: x : 24

Product of means = product of extremes

4 *x = 24 * 3

`x = (3 * 24)/(4)\\\\x = 3 * 6\\\\x = 18`