SSC Selection Post 2024 PYQ — Question 72

The correct answer is Option 3 i.e.18.5 cm.

Area of the triangle = $\sqrt{s(s-a)(s-b)(s-c)}$

where s = $(a+b+c)\over2$

s = $35+12+37\over2$ = 84/2 = 42

Area = $\sqrt{42(42-35)(42-12)(42-37)}$

$\sqrt{42\times7\times30\times5}$ = 210 cm²

Circumradius(R) = ${abc}\over4\times area$

R = ${35×12×37}\over4×210$

R = ${37}\over2$ = 18.5 cm