Question

the base and height of a triangle are in the ratio 2 ratio 3 and its area is 48 CM square find its base and height​

Answer 1

Answer:

area of triangle= 1/2 × b× h

area=48cm²

ratio of base to height= 2:3

let the values be x

thus, base= 2x

height= 3x

now, 48=1/2 × 2x × 3x

=48=x + 3x

=48=4x

x=48/4

x=12

therefore, base= 2x= 2×12=24 cm

height= 3x= 3×12=36 cm

Answer 2

Answer:

let height be 3x

let base be 2x

area of triangle=1/2×base× height

48cm=1/2×2x×3x

48=6x/2

48×2=6x

96=6x

x=96/6=16