In triangle ABC, AD is a median and AE is an altitude (D, E on BC). In which type of triangle do D and E always coincide for the median/altitude from vertex A?

Question

Accepted Answer

when AB = AC (isosceles with AB = AC). If AB = AC, the perpendicular from A to BC also bisects BC, so the altitude and median from A are the same line.

In triangle ABC, AD is a median and AE is an altitude (D, E on BC). In which type of triangle do D and E always coincide for the median/altitude from vertex A?

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