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In the adjoining fegure ap -4 cm,bq-6cm and cr-5cm find perimeter of abc |
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Answer» Answer: The perimeter of ∆ABC is 30 cm Step-by-step explanation: Here, in the above triangle Seg AB is the tangent at point P, Seg AC is the tangent at POINT R and Seg BC is the tangent at point Q Also, BY USING TANGENT SEGMENT THEOREM : TANGENT SEGMENTS DRAWN FROM AN EXTERNAL POINT TO A CIRCLE ARE CONGRUENT. :. AP congruent AR :. AP = 4 cm then AR = 4 cm :. BQ congruent BP :. BQ = 6 cm then BP = 6 cm :. RC congruent QC :. RC = 5 cm then QC = 5 cm then, :. AB = AP + BP ---(Points A,P & B are collinear) :. AB = 10 cm :. AC = AR + RC ---(Points A,R & C are collinear) :. AC = 9 cm :. BC = BQ + QC ---(Points B,Q & C are collinear) :. BC = 11 cm :. Perimeter of triangle = AB + BC + AC :. Perimeter of triangle = 10 + 11 + 9 :. Perimeter of triangle = 30 cm HOPE IT HELPS YOU !! MARK ME AS BRAINLIEST . |
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