Question

The difference between the semi-perimeter and the sides of a triangle are 3cm, 17cm and 34cm respectively. The area of the triangle
iS ---------sq cm.​

Answer 1

Given s−a=8cm⋯(1)

s−b=7cm⋯(2)

s−c=5cm⋯(3)

Where a, b, c are sides of triangle

s

2

is 1 semi perimeter ie s=

2

a+b+c

(1) + (2) + (3)

⇒3s−(a+b+c)=20cm

⇒3s−(25)=20cm

⇒s=20cm

Area of triangle =

s(s−a)(s−b)(s−c)

=

20(8×7×5)

=

5600

=20

14

=59cm