A ΔABC 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.
Answer & explanation
Correct answer: option 2
Formula Used
AQ = \(\frac{1}{2}\)(Perimeter of \(\Delta \)ABC)
Calculations
According to the question,
AQ = \(\frac{1}{2}\)(Perimeter of \(\Delta \)ABC)
= AQ = \(\frac{1}{2}\) x (5 + 6 + 7)
= \(\frac{1}{2}\) x 18 cm
= 9 cm
Therefore, length of AQ is 9 cm.