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:
A. 20 cm
B. 10 cm
C. 12 cm
D. 15 cm
Answer: Option D
Solution (By Examveda Team)

AB & AC ⇒ tangent
AB = AC
ΔAPQ
x + x + a + a = 30
x + a = 15
AB = x + a = 15
Related Questions on Geometry
A. $$\frac{{23\sqrt {21} }}{4}$$
B. $$\frac{{15\sqrt {21} }}{4}$$
C. $$\frac{{17\sqrt {21} }}{5}$$
D. $$\frac{{23\sqrt {21} }}{5}$$
In the given figure, ∠ONY = 50° and ∠OMY = 15°. Then the value of the ∠MON is

A. 30°
B. 40°
C. 20°
D. 70°


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