Question

Construct the $△PQR$ such that $PQ=5cm,PR=6cm$ and $\angle QPR={60}^{\circ }$ and locate its centroid.

Answer 1

Steps for construction:
Step 1: Draw $△PQR$ using the given measurements $PQ=5cm,PR=6cm$ and $\angle P={60}^{\circ }$.
Step 2: Construct the perpendicular bisectors of any two sides $PQ$ and $QR$ to find the mid-points of $M$ and $N$ respectively.
Step 3: Draw the median PN and MR and let them meet at $G$.
The point $G$ is the centroid of the given $△PQR$.