Question

7.The lengths of the three sides of a triangular field are 40 m, 24 m and 32 m respectively. The area of the triangle is

Answer 1

Answer:

Hence the area of the triangle is384 square m.

Answer 2

Answer:

The lengths of the three sides of a triangular field are 40m, 24m and 32m respectively. What is its area?

Area of triangle is given by formula,

Area = Square root [ s * (s - a) * ( s - b) * (s - c) ]

Where s = (a + b + c) / 2

And a,b,c : sides of triangle

Here, lets consider a = 40, b = 24 & c = 32

So, s = (40 + 24 +32 ) / 2 = 96 /2 = 48

Thus, area = Square root [ 48 * ( 48 - 40) * (48 - 24 ) * (48- 32)]

= Square root [(48) * (8) * (24) * (16)]

= square root [ (6*8) * (8) * (6*4) * (4*4)]

= square root [(6*6) * (8*8) * (4*4) *(4)]

= 6 * 8 * 4 * square root [(4)]

= 6 * 8 * 4 * 2

= 384 square meters