Answer: QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
Step-by-step explanation:
Since we have given that
ΔPQS, and ΔSQR,
Consider, ΔPQS,
As we know that " the length opposite to the largest angle is the shortest segment."
So, According to the above statement.
[tex]\angle QPS=63\textdegree\\\\\text{So, QS is the shortest segment of this triangle}[/tex]
Similarly,
Consider, ΔSQR,
Again applying the above statement, we get that,
[tex]\angle QSR=75\textdegree\\\\\text{ So, QR is the shortest segment of this triangle}[/tex]
Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.
