Question

If the area of a triangle is $24c{m}^2$ and its base is 3 times that of height ($h$), then $h$ =

• A. 4 $cm$
• B. 8 $cm$
• C. 12 $cm$
• D. 16 $cm$

Answer 1

The correct option is A 4 $cm$

Given,
$h$ is the height of the triangle.
According to the statement
base = 3$\times$height = $3\times h$
As we know,
Area of triangle = $\frac{1}{2}$$\times$height $\times$base
$\Rightarrow \frac{1}{2}$$\times$$h$$\times$$3h$ = 24
$\Rightarrow 3h^2=48$
$\Rightarrow h^2=16$
$\therefore h=4cm$