If PQRS IS A QUADRILATERAL THEN SHOW THAT PQ +QR + RS +PS >PR + QS

Asked by Mukesh7529 | 15th Feb, 2018, 05:58: PM

Expert Answer:

begin mathsize 16px style In space increment POS comma space PO plus OS greater than PS
In space increment space SOR comma space SO plus OR greater than SR
In space increment ROQ comma space RO plus OR greater than RQ
In space increment QOP comma space QO plus OP greater than QP
PS plus PQ greater than QS............ left parenthesis straight i right parenthesis
RS plus QR greater than QS........... left parenthesis ii right parenthesis
Adding space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis
PS plus PQ plus RS plus QR greater than 2 QS........ left parenthesis iii right parenthesis
PS plus RS greater than PR
PQ plus QR greater than PR
PS plus RS plus PQ plus QR greater than 2 PR........ left parenthesis iv right parenthesis
Adding space left parenthesis iii right parenthesis space and space left parenthesis iv right parenthesis
2 open parentheses PS plus PQ plus RS plus QR close parentheses greater than 2 left parenthesis QS plus PR right parenthesis
PS plus PQ plus RS plus QR greater than QS plus PR end style

Answered by Sneha shidid | 16th Feb, 2018, 11:22: AM