Question

O is the interior part of triangle abc show that ob+oc ab+ac

Answer 1

Sol: Construction: Produce BO to meet AC in D.  Proof: In ΔABD, AB + AD > BD ⇒ AB + AD > BO + OD ----------------- (1)In ΔOCD, CD + DO > OC -------------- (2) [Sum of any two sides must be greater than the third side.] Adding equations (1) and (2), we get AB + AD + CD + DO > BO + OD + OC ⇒ AB + AC + DO > BO + OD + OC ⇒ AB + AC > OB + OC Hence proved. (ii) Pl check the question and repost.