Question

In $\Delta PQR,PQ=4cm$ and $QR=6cm$. What can be the length of the third side PR. Find the minimum possible lengths of side PR

Answer 1

A triangle is possible if the third side of the triangle is greater than the difference in lengths of the other two sides and less than the sum of the lengths of other two sides.
Hence, $QR-PQ<PR<QR+PQ$
$6-4<PR<6+4$
$2<PR<10$