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:

Let the ratio be 2x :3x

$area \: of \: a \: triangle \: = \frac{1}{2} \times base \: \times height$

1/2 × 2x × 3x = 48 square

1/2 × 6x = 48 square

3x = 48 square

3x = 2,304

x = 2,304/3

x = 768 square

Therefore, Base = 2 × 768 = 1,536m

Height = 3 × 768 = 2,304m

Answer 2

Let the base be 2x
the height be 3x
So according to question
1/2 * 2x * 3x = 48
6x^2=96
x^2=16
x=4
So the,
Base=8cm
Height=12cm