Question

Construct a triangle ABC in which BC = 5cm, and median AD through A is of length 3.5cm. Also, determine the length of the altitude drawn from A on the side BC

• A. $5$
• B. $4$
• C. $3$
• D. $7$

Answer 1

The correct option is C $3$

Steps of construction:

$1$. $BC=5cm$ is drawn and is constructed downwards.

$2$. $BX$ is drawn perpendicular to $BY$.

$3$. $Q$ is drawn perpendicular bisector if $BC$ intersecting $BX$ at $O$ and cutting $BC$ at $E$.

$4$. Taking $O$ as a centre and $OB$ as radius, a circle is drawn.

Taking $E$ as centre and radius equal to $3.5cm$, arc is drawn to cut the circle at $A$.

$5$. $AC$ and $AB$ are joined.

$6$. $AD$ is drawn perpendicular to $BC$ from $A$ to cut $BC$ at $D$.

$7$. By measuring we find that $AD=3cm.$