Question

Find the height of a triangle given that it's area is equal to $36c{m}^2$ and base is twice it's height.

• A. 12 cm
• B. 6 cm
• C. 18 cm
• D. 36 cm

Answer 1

The correct option is B 6 cm

For a triangle with base b and height h,
$\text{Area of triangle}=\frac{1}{2}\times \text{b}\times \text{h}$
Given that, $\text{b}=2\text{h}$
$\text{Area}=\frac{1}{2}\times \text{b}\times \text{h}$
$=\frac{1}{2}\times 2h\times h=36c{m}^2$
$\Rightarrow {\text{h}}^2=36c{m}^2$
$\Rightarrow \text{h}=6cm.$