Question

Find the base of a triangle if the area given is $64c{m}^2$ and base is twice of its altitude.

• A. 16 cm
• B. 8 cm
• C. 14 cm
• D. 12 cm

Answer 1

The correct option is B 8 cm

Let the altitude be $x$

Then base is 2$x$

Area of triangle = $64c{m}^2$ (Given)

$\because \text{Area of triangle}=\frac{1}{2}\times \text{Base}\times \text{Height}$

$\Rightarrow 64c{m}^2=\frac{1}{2}\times 2x\times x$

$\Rightarrow 64c{m}^2=x\times x$

$\Rightarrow x=8cm$