Question

PQRS is a quadilateral,RS and QS are Diagonals.
a) is PQ+QR+RS+SP>PR+QS​

Answer 1

Answer:

In △PQO,PQ+QO>PQ→(1)

In △SOP,SO+PO>PS→(2)

In △SOR,SO+OR>RS→(3)

In △QOR,QO+OR>QR→(4)

Adding equations (1) , (2) , (3) & (4) , we get

2(PO+OQ+SO+OR)>PQ+QR+RS+SP

PQ+QR+RS+SP<2(PQ+OR+SO+OQ)

PQ+QR+RS+SP<2(PR+SQ)

Step-by-step explanation: