SOLUTION: Triangle ABC is not isoceles. Prove that altitude BD would not bisect AC.

Question 129774: Triangle ABC is not isoceles. Prove that altitude BD would not bisect AC.
Answer by MathLover1(20855) (Show Source): You can put this solution on YOUR website!
If you construct the altitude you will see that the sides and are .

I think the way to prove will be best way to shove that altitude would bisect .
So, let's assume that the altitude bisect .

Then and are (by the def. of bisector),
so triangles and are congruent (by the side-angle-side theorem)
if and are , then

Hence, if the bisects , then the triangle

to start with.

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