O is any point in interior of ∆ABC , prove that AB+AC+BC is greater than OA+OB+OC.
PLEASE ANSWER ME FAST AND I WILL MARK IT AS BRAINLIEST......
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Step-by-step explanation:
In triangles OAB,OAC and OBC
BY triangle inequality we get
Since side opposite to greater angle is greater
So
AB>OB
BC>OC
AC>OA
Adding all the three equations we get
AB+AC+BC>OA+OB+OC
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