find the area of a triangle when two sides are 24cm and 10cm and the perimeter of the triangle is 62cm
Let the third side be x.
24 cm + 10 cm + x = 62 cm
=> 34 cm + x = 62 cm
=> x= 28cm
semiperimeter( s ) = 1/2 X 62 = 31 cm
By Heron's Formula :
area of triangle= root over{ 31( 31- 24)(31- 10)( 31 - 28)} cm2
= root over{ 31 X 7 X 21 X 3 } cm2
= root over{ 31 X 21 X 21 }cm2
= 21 X root over (31) = 116.92... cm2
ANSWER= 116.92 cm2.