Question

The legs of a right triangle are in the ratio 3 : 4 and its area is 1014 $c{m}^2$ . Find the lengths of its legs .

Answer 1

Let the legs be $3x$ and $4x$

Then,

$\frac{1}{2}\times 12x^2=1014$

$6x^2=1014$

$x^2=169$

$x=13$

Therefore, length of legs is $3x=3\times 13=39$ cm and $4x=4\times 13=52$ cm.