Question

Are the median and altitude the same line segments for an equilateral triangle?

• A. True
• B. False

Answer 1

The correct option is A True


In an equilateral triangle, the sides are equal. So the altitude becomes the perpendicular bisector. And since the perpendicualr bisector divides the side in two equal halves, the altitude is equal to the median. Because, median is nothing but a line form a vertex divding the side opposite to the vertex in two equal halves. In $\Delta ABC$, AD is both the altitude as well as the median of the equilateral triangle.