Question

A triangle has a base which is equal to twice its height. If the area is $36c{m}^2$, what is its 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,
$Areaoftriangle=\frac{1}{2}\times b\times h$
Given that, $b=2h$
$Area=\frac{1}{2}\times b\times h=\frac{1}{2}\times 2h\times h=36c{m}^2$
$h^2=36c{m}^2$
$h=6cm$