A circle touches the side PQ of a ΔAPQ at the point R and sides AP and AQ produced at the points B and C, respectively. If the perimeter of ΔAPQ = 30 cm, then the length of AB is:

Answer: Option D

Solution

Answer: Option D

Solution:

AB & AC ⇒ tangent
AB = AC
ΔAPQ
x + x + a + a = 30
x + a = 15
AB = x + a = 15