Question Practice

Qn #1957
Let $M$ be a point inside the triangle $ABC$. Then which one of the following is true?



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NIMCET Previous Year PYQ NIMCET NIMCET 2008 PYQ

Solution

By triangle inequality in $\triangle ABM$ and $\triangle ACM$, $AB>MB-AM,\ AC>MC-AM$ Adding, $AB+AC>MB+MC$ Answer: $\boxed{AB+AC>MB+MC}$
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