Question

Find the length of AB, given that be is a median of the triangle and AC = 30.

Answer 1

SOLUTION

Draw the diagram

a median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side.

Hence

$|DB|\text{ bisect |AC|}$

SInce AC=30, Then

$\begin{gathered} AB=15,\text{ CB= 15} \\ \text{Hence} \\ |AB|=15 \end{gathered}$

Thus, from the median properties of a triangle, AB = 15