question_answer

In a triangle PQR (as shown below), \[\angle PQR=90{}^\circ \]and QS is its bisector. If \[SM\bot QR,\] then \[SM\times (PQ+QR)\] is equal to ________.

A)  \[PS\times SR\]             

B)  \[PQ\times QR\]

C)  \[2PS\times SR\]                       

D)  \[2PQ\times QR\]

E)  None of these