Question

in triangle PQR if PM is the median on QR then prove that PQ+PR>2pm

Answer 1

In triangle PQM
PQ+QM>PM.....(1) [in a triangle sum of two sides is greater than the third side]
In trianglePMR
PR+RM>PM....(2)
Adding (1) and (2)
PQ+PR+QM+MR>2PS
PQ+PR+QR>2PS