Re: Simple middle school math, but I forget how to solve it


iherage wrote:
Given Triangle ABC. D is the inner point of ABC.
Prove: AB+AC> DB+DC

Can anyone given a simple solution?
Draw the orthogonal line from D to the line BC. This line meets either
AC or AB at a new point
(say D'). Now, roll the point D on the line DD'. This action only
increases the amount of ''BD+DC''. So, we can assume that D is a point
on one of the lines AB or AB. Let it is on the line AC then we have:
BD<AB+AD which gives us
BD+DC<AB+AD+DC=AB+AC.QED

.

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