Question

In an isosceles triangle, the altitude and median are __________. I know they are the same but the same isn't one of the choices. These are the choices:

A. segments opposite one another
B. perpendicular segments
C. the same segment
D. the legs of the triangle,

Answer 1

C. The same segment. In an isosceles triangle, the altitude and the median are the same segments because they correspond to the base that is contained in the mediatrix of the base. This applies to equilateral and isosceles triangles and the demonstration is by the congruence of triangles.