Question

The construction of $\Delta PQR$ given that $QR=5.2cm$ angle $Q={50}^{\circ }$. Is it possible when the difference of $PQ$ and $PR$ is $3.5cm$? justify.

Answer 1

$QR=5.2cm$, $\angle Q={50}^0$

Difference of $PQ$ and $PR=3.5cm$

Yes, because given side$\left(QR\right)$ is greater than the difference of the two sides ($PQ$ and $PR$) that is $QR>PQ-PR$