Answer:
QS = 69
Step-by-step explanation:
Step 1
We solve using Triangle Proportionality Theorem
QR : RS = QU : UT
QR = 23
RS = ?
QU = 25
UT = 50
QR/RS = QU/UT
23/RS = 25/50
Cross Multiply
RS × 25 = 23 × 50
RS = 23 × 50/25
RS = 46
Step 2
QS = QR + RS
QR = 23
RS = 46
Hence, QS = 23 + 46
QS = 69
