Question

Question 33

If we join a vertex to a point on opposite side which divides that side in the ratio 1 : 1, then what is the special name of that line segment?

a) Median
b) Angle bisector
c) Altitude
d) Hypotenuse

Answer 1

Consider $\Delta ABC$ in which AD divides BC in the ratio 1 : 1

Now, BD : DC = 1 : 1
$\Rightarrow \frac{BD}{DC}=\frac{1}{1}$
$\therefore$ BD = DC
Since, AD divides BC into two equal parts. Hence, AD is the median.