CBSE Class 9 Answered
In figure, show that 2 (AC + BD) > (AB + BC + CD + DA)
Asked by Topperlearning User | 11 Aug, 2017, 09:13: AM
Expert Answer
In 
OAB
OA + OB > AB ...(1)
In OBC
OB + OC > BC...(2)
In OCD,
OC + OD > CD...(3)
In ODA,
OD + OA > AD ...(4)
Adding (1), (2), (3) and (4)
2 (OA + OB + OC + OD) > AB + BC + DC + DA
2|(OA + OC) + (OB + OD)| > AB + BC + CD + DA
2 (AC+ BD) > AB + BC + CD + DA
Answered by | 11 Aug, 2017, 11:13: AM
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