SSC CHSL 2022 PYQ — Question 52

The correct answer is Option 4 i.e.30 cm².

A triangle whose sides are 13 cm, 5 cm, and 12 cm.

Area of a triangle with sides a, b, c and perimeter (2s) = ${\sqrt{s(s-a)(s-b)(s-c)} }$ 

s = (a + b + c)/2

Semi perimeter of triangle = (13 + 5 + 12)/2 = 30/2 = 15 cm

Area = ${\sqrt{15(15-13)(15-5)(15-12)} }$

A = ${\sqrt{15(2)(10)(3)} }$

A = ${\sqrt{900} }$ = 30 cm²