Please prove that Share with your friends Share 0 Neha Sethi answered this Given: AB is the longest side ...1 and CD is the shortest side ...2To prove:∠A<∠C∠B<∠DJoin B and D and mark the angles.In △DCBCB>CD from 2So, ∠1>∠2 ....3 angles opposite to the longer side is greaterIn △DBAAB>AD from 1So, ∠3>∠4 ....4 angles opposite to the longer side is greaterAdding 3 and 4 equations , we get∠1+∠3>∠2+∠4∠D>∠B Join A and C and mark the anglesIn △CDAAD>CD using 2∠5>∠6...5 Angles opposite to greater side is greater In BCAAB>CB using 1∠7>∠8 ...6 Angles opposite to greater side is greater Adding 5 and 6 equations∠5+∠7>∠6+∠8∠C>∠A 0 View Full Answer
