Question

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.

A 13 Correct Answer Incorrect Answer
B 12 Correct Answer Incorrect Answer
C 9 Correct Answer Incorrect Answer
D 11 Correct Answer Incorrect Answer

Solution

AB + BC + AC = 2AP = 2AQ => 2AQ = 5 + 6 + 7 => AQ = 9 cm

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