Question

O is any point in the interior of triangle PQR. OP, OQ and OR are joined.
Show that 2 (OP + OQ + OR) > PQ + QR + RP.
[Hint: From triangle OPQ, OP + OQ > PQ, from triangle OQR, OQ + OR > QR and
from triangle OPR, OP + OR > PR]​

Answer 1

Step-by-step explanation:

We know that, sum of two sides is greater than the third side.

In △OPQ

Sum of any two sides is greater than the third side.

∴OP+OQ>PQ

So, this is true.