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