Question

The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m²; find its base and height.

Answer 1

Let base = 5x m
height = 3x m

Area of Δ = `1/2  "base" xx "height"`

∴ `1/2 xx 5x xx 3x = 67.5`

`x^2 = (67.5 xx 2)/15`

`x^2 = 4.5 xx 2`

`x^2 = 9.0`

`x = sqrt(9)`

x = 3

base = 5x = 5 x 3 = 15 m
height = 3x = 3 x 3 = 9 m