Question

Base of the triangle is 3 times of its height. If its area is 24 $c{m}^2$, then find its base.

• A. 4 cm
• B. 6 cm
• C. 12 cm
• D. 24 cm

Answer 1

The correct option is C 12 cm

Let height of a triangle be of y length.
Hence base then will be 3$\times$y = 3y
Area of triangle = $\frac{1}{2}$$\times$base$\times$height
24 = $\frac{1}{2}$$\times$3y$\times$y
$y^2$ = $\frac{24\times 2}{3}$ = 8$\times$2 = 16
y = $\sqrt{1}6$
y = 4
$⟹$ height = 4 cm
Hence, base = 3y = 3$\times$4 = 12 cm