Q. 21 F4.4( 14 Votes )
The difference of A. 20√7 sq.cm.
B. 10√14 sq.cm.
C. 20√14 sq.cm.
D. 140 sq.cm.
Let the semi perimeter of the triangle be x cm
Then the length of three sides of the triangle is
x - 8, x - 7 and x - 5 cm
Semi-perimeter of the triangle =
Where a, b and c are the sides of the triangle.
⇒ 2x = 3x – 20
⇒ x= 20
Hence the semi perimeter = 20 cm
Sides of triangle are 12 cm, 13cm and 15cm
Area of triangle =
= 20√14 cm2
Hence the correct option is C
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