Question

The base and height of the triangle in the ratio 4:3 and it's area is 384 cm² . Find it's base and height?

Answer 1

Let the base= 4x and height= 3x

area of triangle = 1/2 x base x height
1/2 x 4x x 3x= 384
6x² = 384
x² = 384/6
x² = 64
x = √64 = 8 

∴ base= 4 x 8 = 32 cm
height = 3 x 8 = 24 cm

Answer 2

let the base and height be 4x and 3x respectively.
area = 384 cm sq.
area= 1/2×base×height
384=1/2×4x×3x
384=12x/2
(384×2)÷12=x
64= x

base = 4x= 4×64= 256cm
height= 3x= 3× 64= 192cm

hope thus helps u in any way