Answer:
C. √52
Step-by-step explanation:
Call the base of the altitude point T. The Pythagorean theorem tells you the square of QT is ...
QT² +TR² = QR²
QT² = QR² -TR² = 5² -3² = 25 -9 = 16
It also tells you that PQ satisfies ...
QT² +TP² = PQ²
PQ² = 16 +6² = 16 +36 = 52 . . . . . substitute known values
PQ = √52 . . . . . . . take the square root
