Question

Find the area of a triangle whose sides are respectively 150cm, 120cm and 200cm.

Answer 1

We can solve it by Heron's formula.

So, semi perimeter will be,

$s=\frac{150+120+200}{2}$

$=235cm$

So,By herons's formula:-

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

where $a=150cmb=120cmc=200cm$

By implying values:-

$Area=\sqrt{235(235-150)(235-120)(235-200)}$

$Area=\sqrt{235\times 85\times 115\times 35}$

$Area=\sqrt{80399375}$

$Area=8966.57c{m}^2$