Question

In the adjoining figure $ABC$ is a triangle in which $D$ and $E$ are the mid points $AB$ and $AC$ respectively if $BC=4.6\text{cm}$ then $DE=$ _______

• A. $9.2\text{cm}$
• B. $2.3\text{cm}$
• C. $5.0\text{cm}$
• D. $6.4\text{cm}$

Answer 1

The correct option is B $2.3\text{cm}$

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 $D$ and $E$ are the mid points of side $AB$ aand $AC$

$\Rightarrow DE||BC$ and $BC=2DE$

$BC=4.6\text{cm}$

$2DE=4.6\text{cm}$

$DE=2.3\text{cm}$

So option $B$ is correct.