Mathematics

In the given figure AD and BE are medians, then ED is equal to :
2AB
$\dfrac{1}{2}AB$
$\dfrac{1}{4}AB$
$\dfrac{1}{8}AB$

9 Likes

Join ED.

By mid-point theorem,

The line segment joining the mid-points of any two sides of a triangle is parallel to the third side and is equal to half of it.

Since, AD and BE are medians.

∴ D is mid-point of BC and E is mid-point of AC.

In △ ABC,

∴ ED = $\dfrac{1}{2}AB$ (By mid-point theorem)

Hence, Option 2 is the correct option.

Answered By

5 Likes