Question

Find the area of a triangle with sides 150cm,120cm and 200cm.

Answer 1

HI THERE,

Here is the solution-
a=150,b=120,c=200
s=p/2=470/2=235

Now,
$area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)}$
$= \sqrt{235(235 - 150)(235 - 120)(235 - 200)} \\ = \sqrt{235 \times 85 \times 115 \times 35} \\ = \sqrt{5 \times 47 \times 5 \times 19 \times 5 \times 7} \\ = 5 \sqrt{47 \times 19 \times 7 \times 5} \\ = 5 \sqrt{31255}$