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Prove that a) the medians b) the altitudes and c) the angle bisectors drawn from the base angle of an isosceles triangle are congruent.

Looking at this problem, I feel that this statement is just false. If you have an isosceles triangle given in the following link http://mathforum.org/dr.math/faq/formulas/images/isostri2.gif. Then clearly these are not congruent. Is there something in the problem that I am missing? Thanks

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    $\begingroup$ I think you are to prove that each two of the same kind are congruent. That's three problems. $\endgroup$ – Ethan Bolker May 9 '16 at 15:20
  • $\begingroup$ instead of looking at the medians, we should look at where the medians meet (i.e, the centroid). Similarly, the ortho-center for (b) and the in-cneter for (c). $\endgroup$ – Mick May 9 '16 at 15:48

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