Question

The difference between the semi perimeter and the sides of a triangle ABC are 8 cm 7 cm and 5 cm respectively. Find the area of the triangle...!!

Answer 1

the answer is 10 root 3 cm and 300 CM

Answer 2

Answer:

20√14 cm²

Step-by-step explanation:

Let the sides of the triangle be a,b,c.

We know that Semi-perimeter s = (a + b + c)/2 (or) 2s = a + b + c

Given that Difference between the semi-perimeter and sides are 8 cm,7 cm and 5 cm.

(i) s - a = 8 cm

(ii) s - b = 7 cm

(iii) s - c = 5 cm.

On adding (i),(ii),(iii), we get

=> s - a + s - b + s - c = 8 + 7 + 5

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

=> 3s - (2s) = 20

=> s = 20.

Area of triangle = √s(s - a)(s - b)(s - c)

= √20(8)(7)(5)

= √5600

= 20√14 cm².

Hope it helps!