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There was something I never quite understood about medians and perpendicular bisectors in a triangle, or to be more specific, an isosceles triangle; Aren't they the same in this kind of triangle? If not all are the same, than, at least the median to the base of the triangle is also a perpendicular bisector, due to the qualities of median to the base in an isosceles triangle?

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    $\begingroup$ Your last question is correct. The median to and perpendicular bisector of the base are the same. The median to and perpendicular bisector of the congruent sides are not the same. $\endgroup$ – John Habert Jan 28 '14 at 15:33
  • $\begingroup$ indeed, because they do not serve as angle bisectors $\endgroup$ – Bak1139 Jan 28 '14 at 15:36
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Hope this helps.this

AD serves as the median (from A to BC) as well as the perpendicular bisector (of BC).

This is not necessarily true for the other two sides unless the triangle is equilateral.

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  • $\begingroup$ It sums it up pretty well, thanks. $\endgroup$ – Bak1139 Jan 28 '14 at 17:34

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