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The height and base of a triangle are in ratio 1:3 respectiv...

The height and base of a triangle are in ratio 1:3 respectively. If the area of the triangle is 216 cm2, find the length of the base.

A.

24cm

B.

36cm

C.

72cm

D.

144cm

Correct answer is B

Area = 12×base×height

height:base=1:3

base=3×height

Let height = h;

Area = 12×3h×h=216

3h2=216×2=432

h2=4323=144

h=144=12.0cm