Question

the height and base of a triangle are in the ratio 3 : 2. if the area of the triangle is 27 square cm, what are the measurements of the height and the base of a triangle

Answer 1

Let us take the given ratio be 3x : 2x.

AREA OF TRIANGLE = 1/2*Base *height = 1/2*3x*2x =3x^2.

But it is given 27cm^2.

So,

Atq,3x^2cm^2 = 27cm^2

Or x^2 = 27/3

or x^2 = 9

Therefore x = 3

So, height = 3x = 3*3cm=9cm

And base = 2x = 2*3cm=6cm

Answer 2

Hey mate,

ATQ,

base = 2/5 x

Height = 3/5 x

So,

Area of triangle = 1/2*b*h

1/2*2/5*3/5*x^2 = 27

X^2 = 225

X = 15

So base = 6cm

Height = 9 cm

Hope this helps you out!