Question

The length of the side of a triangle are in the ratio 13 : 14 and its perimeter is 84 m. Find the area

Answer 1

Let the sides be $13x,14x,15x$

Perimeter is equal to the sum of all sides

$84=13x+14x+15x$

$84=42x$

$x=2$

Therefore the sides are:

$13\times 2=26,14\times 2=28,15\times 2=30$

$s=\frac{p}{2}=\frac{84}{2}=42$

$Area=\sqrt{s(s-a)(s-b)(s-c)}$

$=\sqrt{42(42-26)(42-28)(42-30)}$

$=336$sq.cm