Question

Choose the correct answers from the alternatives given.
If length of three medians of a triangle are respectively $9$ cm, $12$ cm and $15$ cm then what is the area of the triangle in $c{m}^2$?

• A. $48$
• B. $72$
• C. $96$
• D. $36$

Answer 1

The correct option is B $72$

$\text{area of triangle = (4/3)[area of triangle formed by median as side]}$
$\text{area of triangle= (4/3)}$ $[\frac{1}{2}\times 9\times 12]$ $\text{[9,12,15 are triplets and forms a right angle triangle with hypotenuse 15]}$
$\text{area of triangle}=\frac{4}{3}\times \frac{1}{2}\times 9\times 12=72cmsq$