Question

The difference between the semi perimeter and the side of triangle are 5 cm 7 cm and 8 cm respectively.Find area of the triangle

Answer 1

area of triangle is 20√14cm^2

Step-by-step explanation:

let the semi perimeter be s

let all the three sides of the triangle be a,b,c

It is given that,

(s-a) = 5 (i)

(s-b) = 7. (ii)

(s-c) = 8. (iii)

Adding eqn (i),(ii)&(iii), we get

(s-a) + (s-b) + (s-b) = 5 + 7 + 8

3s -(a+b+c) = 20 (iv)

We know that

s = (a+b+c)/2

2s = a+b+c

Putting (a+b+c) in eqn (iv),we get

3s -2s = 20

s = 20

Now,

Area of triangle = √s(s-a)(s-b)(s-c)

= √20(5)(7)(8)

= 20√14 cm^2

Hope this will help you