MATH
posted by RIYA on .
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.

let the base be 5x and the height 3x ,
area of triangle = (1/2)base x height
(1/2)(5x)(3x) = 67.5
35x^2 = 135
x^2 = 9
x = √9 = 3
so base is 5x = 15
height is 3x = 9
check:
15 : 9 = 5 : 3
(1/2)(15)(9) = 67.5