Question

3. Find the area of a triangular field whose sides are 715 m, 660 m and 275 m.
Also, find the cost of reaping it at the rate of ₹50 per hectare.​

Answer 1

Step-by-step explanation:

As you know, the field is in the shape of a triangle.

Let the sides of this triangle a, b and c.

Thus,

a = 715 m

b = 660 m

c = 275 m

Since we don't have any height to deal with, we will have to apply the Heron's formula to find its area.

Heron's formula :

Area of triangle =

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

where s = semi perimeter of the triangle

[ (a+b+c) /2]

Here, s = (715 + 660 + 275)/2 = 825 m

Therefore

Area of triangle =

$\sqrt{825(825 - 715)(825 - 660)(825 - 275)}$

√825(110 x 165 x 550)

= 90750 m²