Triangle ABC is circumscribed around circle D. Segments AQ, BR and SC measure 13, 10.5 and 6 cm, respectively. The perimeter of triangle ABC is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 59 cm.
The tangents drawn from an external point to the circle are equal in length.
AQ = AS = 13 cm, BR = QB = 10.5 cm, SC = CR = 6 cm
The perimeter of triangle ABC = AQ + AS + BR + QB + SC + CR
⇒ 13 + 13 + 10.5 + 10.5 + 6 + 6 = 59 cm