practice problems pending

 Q. If point O is inside triangle ABC, then prove that AB + BC > AO + OC
Solution:
Extend AO to meet BC at D.
Consider triangle ABD.
AB + BD > AD = AO + OD

In triangle ODC:
OD + CD > OC

Add both:
AB + BD + OD + CD > AO + OD + OC
Cancel OD
AB + BD + DC > AO + OC
=> 
AB + BC > AO + OC
H.P.

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