Question

If
pr-qs
ps--qr
then show that each
p-q+r-sp-9-r+s
ratio
p+q+r+ S
4​

Answer 1

Answer:

In APOS, PO + OS > PS

In A SOR, SO + ORSR

In AROQ, RO + OR > RQ

In AQOP, CO + OP > QP

PS + PQ> QS.. .()

RS + QR > QS. .(i)

Adding (1) and (i)

PS + PQ + RS + QR > 2QS....(ii)

PS + RS > PR

PQ + QR > PR

PS + RS + PQ+QR > 2PR. .(v)

Adding (ii) and (iv)

2(PS+PQ + RS + OR) > 2(OS + PR)