Question

please help don't spam my question please I beg u​

Answer 1

Given,

PR=PS

To prove,

PS²=2RS.QS

Now, In triangle PQS,

PQ²+QS²=PS²

In triangle PQR,

PR²= PQ²+QR²

-PQ²=QR²-PR²

PR²-QR²+QS²=PS²

PR²-QR²+(QR+RS)²=PS²

PR²-QR²+QR²+RS²+2QR.RS=PS²

2RS²+2QR.RS=PS²

2RS(RS+QR)=PS²

2RS.QS=PS²

Hence, PS²=2RS.QS