SSC CGL 2022 PYQ — Question 45

The correct answer is option 3 i.e. 14 cm.

From the figure,

Let C is the mid point of AB.

So one can say that,

$\triangle$AOC and  $\triangle$BOC are congruent

and  $\triangle$AO'C and  $\triangle$BO'C are congruent to each other.

Now one can say that OO' is a straight line.

in $\triangle$AOC,

OC² = OA² - AC² = 169 - 144 = 25

OC = 5.

 In $\triangle$AO'C,

O'C² = O'A² - AC² = 225 - 144 = 81.

O'C = 9.

OO' = OC + O'C = 5 + 9 = 14 cm.