A ∆ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 9.
Let BM = x and CM = (6 - x)
As one knows that the length of tangents drawn from the same external point is equal.
So one can say that BM = BP = x and CM = CQ = 6 - x
Similarly, AP = AQ
⇒ 5 + x = 7 + 6 - x
⇒ x = 4
AQ = 7 + 6 - 4 = 9cm.