A circle touches the side PQ of a ΔAPQ at the point R and on produced sides AP and AQ at the points B and C respectively. If the perimeter of ΔAPQ = 40 cm, then the length of AB is?
Answer & explanation
Correct answer: option 2
PR = PB, QR = QC (tangent)
AB = AC (tangent)
Perimeter of APQ:
= AP + PQ + AQ
= AP + PR + RQ + AQ
= AP + PB + QC + AQ
= AB + AC
40 = 2AB
AB = 20 cm