The base and height of a triangle are in the ratio 5:3.if the area of the triangle is 67.5 square metre.find its base and height.

1 answer

A = b*h/2,
A = 5x * 3x / 2 = 67.5,
Multiply both sides by 2:
5x * 3x = 135,
15x^2 = 135,
x^2 = 9,
X = 3.

b = 5x = 5*3 = 15.

h = 3x = 3*3 = 9.