Two circles of radii 13 cm and 10 cm intersect at the points P and Q. If PQ = 10 cm and the distance between the centers of the circle is x cm, the value of x is?
Answer & explanation
Correct answer: option 2
In ΔPOM
⇒ directly use triplet (5, 12, 13) ⇒ OM = 12
and
In ΔPON,
Using pythagoras theorem :
⇒ ON = \(\sqrt {10^2 - 5^2}\) = 5\(\sqrt {3}\)
Hence, MN = 12 + 5\(\sqrt {3}\) = 20.5 cm