LENGTHS of tangents from a POINT on a circle are equal.Thus, AP = AR = 6 cmBQ = BP = 5 cmCR = CQ = 7 cmNow, AB = AP + PB = 6 + 5 = 11 cmBC = BQ + QC = 5 + 7 = 12 cmAC = AR + CR = 6 + 7 = 13 cmThe perimeter of ΔABC = AB + BC + AC⇒ The perimeter of ΔABC = 11 + 12 + 13 = 36 cm