the two sides of a triangle are 32 and 68. the area is 960 sq.cm. find the third side of triangle? Choose the correct choice from the following answers.
A) 45 B) 50 C) 60 D) 70 E) 80

Rationale: we see 68 ^ 2 - 32 ^ 2 = ( 68 + 32 ) * ( 68 - 32 ) = 100 * 36 = 60 ^ 2 now ( 1 / 2 ) * 60 * 32 = 960 ( match with given options ) ( i . e area of a right angled triangle whose sides are 32 , 60,68 ) third side = 60 answer : c
Answer: C