Question

A median of a triangle divides it into two ______.

Options

• triangle of equal areas

• congruent triangles

• triangles of areas in the ratio 2 : 1

• right triangles

Answer 1

A median of a triangle divides it into two triangle of equal areas.

Explanation:

A median of a triangle connects a vertex to the mid-point of the opposite side, dividing that side into two segments of equal length. Since both smaller triangles share the same vertex and have equal bases along the same straight line, they share an equal height. Because their bases and heights are equal, their areas are equal.