Question

the base and hieght of a triangle are in the ratio 3:4 and its area is 96cm. find its base and hieght

Answer 1

$area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ 96 = \frac{1}{2} \times 3x \times 4x \\ 96 = \frac{1}{2} \times 12x \\ 96 = 6x \\ x = \frac{96}{6} = 16 \\ base = 3x = 3 \times 16 = 48cm \\ height = 4x = 4 \times 16 = 64cm$

Answer 2

Let the base and hieght be 3n and 4n
,area= 1/2× b× h
Now area=1/2 ×3n× 4n = 96
=12n =96×2
N=16