Question

what is qr?
q
u+16
r
28
p
2u
28
s
qr =
submit

Explanation:

Step1: Use the property of perpendicular bisector

Since \(QP = SP = 28\) and \(PR\) is perpendicular to \(QS\), by the perpendicular bisector theorem, \(QR = SR\). So \(u + 16=2u\).

Step2: Solve the equation for \(u\)

Subtract \(u\) from both sides of the equation \(u + 16=2u\).
\(2u-u=16\), so \(u = 16\).

Step3: Calculate \(QR\)

Substitute \(u = 16\) into the expression for \(QR\) (\(QR=u + 16\)).
\(QR=16 + 16\).

Answer:

\(32\)