Question

Construct a triangle whose medians are $6cm$, $7.5cm$ and $9cm$.

Answer 1

1. Construct a $△APD$ with $AP=6cm,PD=7.5cm$ and $AD=9cm$

2. Draw the medians $AH$ and $PJ$ of $△APD$ intersecting each other at $G$

3. Produce $AH$ to $B$ such that $GH=HB$

4. Join $B$ and $D$ and produce it to $C$, such that $BD=DC$. Join $A$ and $C$. We get $△ABC$