Question

In an equilateral triangle ABC, D and E are the mid points of sides AB and AC respectively. Then the length of DE is :

• A. Not possible to find
• B. $3cm$
• C. $\frac{1}{2}BC$
• D. $\frac{3}{2}BC$

Answer 1

The correct option is C $\frac{1}{2}BC$

According to mid point theorem the line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side.

Here $D$ is the mid point of $AB$ and $E$ is the mid point of $AC$

$\therefore DE||BC$ and $DE=\frac{1}{2}BC$.

Hence option $C$ is correct.