Determine the shortest segment in △ pqs and △ qrs. remember that a segment is named by its endpoints (two letters).

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.

Similarly,

Consider, ΔSQR,

Again applying the above statement, we get that,

Hence, QS and QR are the shortest segment of the triangle ΔPQS, and ΔSQR respectively.

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step-by-step explanation: