It is the line from a vertex of the triangle to the midpoint of the side opposite that vertex.
Yes in equilateral triangle.
An isosceles or an equilateral triangle perhaps?
Yes, if the triangle is isosceles or equilateral.
In an isosceles or equilateral triangle, when from the vertex that is different from the others.
Yes. In an isosceles or equilateral triangle, it always is.
A median divides any triangle in half.
No. The angle bisector is a line. Where the three lines meet is the median. In an equilateral triangle the INTERSECTION of the angle bisectors is the median.
Yes in equilateral triangle.
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For the equilateral triangle in Euclidean space(i.e, the triangles you see in general) median is the same as its altitude. So, both are of equal length.
An isosceles or an equilateral triangle perhaps?
Yes, if the triangle is isosceles or equilateral.
In an isosceles or equilateral triangle, when from the vertex that is different from the others.
Yes. In an isosceles or equilateral triangle, it always is.
Yes * * * * * No. A median is a line from a vertex to the midpoint of the opposite side. It divides the triangle into congruent parts only if the triangle is equilateral or if the triangle is isosceles and it is the median from the unequal vertex. In all other cases the two parts will not be congruent.
No, an equilateral triangle has to be equiangular, but an equiangular triangle does NOT have to be equilateral
Sure. That's true of a median in every isosceles triangle, and every median in an equilateral triangle. In fact it is true for any median of any triangle. The two parts may not be the same shapes but they will have the same area. That is why the point where the three medians meet (centroid) is the centre of mass of a triangular lamina of uniform thickness.