Question

the sides of a triangle plot are 40m, 37m, 13m. what is its area?

Answer 1

s+s+s=40+37+13
=90cm^2

Answer 2

Hey mate..
========

Given,

The sides of a triangle plot are 40m, 37m, 13m

Here,

a = 40m

b = 37m

c = 13m

Let,

's' be the semi perimeter of the triangle.

Now,

$s = \frac{a + b + c}{2 } \\ \\ = \frac{40 + 37 + 13}{2} \\ \\ = \frac{90}{2} \\ \\ = 45m$

By applying Herons formula we have,

Area of triangle =

$\sqrt{s(s - a)(s - b)(s - c)} \\ \\ = \sqrt{45(45 - 40)(45 - 37)(45 - 13)} \\ \\ = \sqrt{45 \times 5 \times 8 \times 32} \\ \\ = \sqrt{57600 } \\ \\ = 240m \: \: (ans.)$

Hope it helps!