A circle touches all four sides of a quadilateral PQRS. If PQ = 11 cm, QR = 12 cm and PS = 8 cm, then what is the length of RS?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 9 cm.
When the circle touches all four sides of quadrilateral PQRS then,
PQ + RS = SP + RQ
Hence,
⇒ 11 + RS = 8 + 12
⇒ RS = 20 - 11
⇒ RS = 9