Question

The sides of a triangular field are 325m, 300 m and 125 m. Its area is

• A. $18750m^2$
• B. $37500m^2$
  
• C. $97500m^2$
• D. $48750m^2$

Answer 1

The correct option is A

$18750m^2$

Sides of a triangular field are 325m, 300m 125m
$\therefore s=\frac{a+b+c}{2}=\frac{325+300+125}{2}$
= $\frac{750}{2}=375$
$\therefore Area=\sqrt{s(s-a)(s-b)(s-c)}$
= $\sqrt{375(375-325)(375-300)(375-125)}$
= $\sqrt{375\times 50\times 75\times 250}$
= $\sqrt{25\times 15\times 25\times 2\times 25\times 3\times 25\times 2\times 5}$
= $25\times 25\sqrt{3\times 5\times 2\times 3\times 2\times 5}$
= $25\times 25\times 5\times 3\times 2=18750m^2$