104k views
1 vote
Given that bar(PS) is the perpendicular bisector of bar(QR),PQ=12.4,PR=12.4, and SR=7.6, identify QR. QR=7.6 QR=15.2 QR=12.4 QR=24.8

User Bill Kary
by
6.8k points

1 Answer

3 votes

Final answer:

Since bar(PS) is the perpendicular bisector of bar(QR) and SR = 7.6, the total length of QR is double the length of SR, which is 15.2 units.

Step-by-step explanation:

We are given that bar(PS) is the perpendicular bisector of bar(QR), which implies that PS bisects QR into two equal lengths. Since PQ = PR = 12.4 units and SR is given as 7.6 units, QR must be double the length of SR because S is the midpoint of QR (as PS is the perpendicular bisector of QR). Therefore, QR is 7.6 units * 2, which equals 15.2 units.

User Maurisa
by
7.9k points