Question

Select all the correct answers.
What is the length of side PQ in this figure?

Answer 1

7.2 or
`\sqrt{ 52`

Explanation:

its the right answer

Answer 2

C. √52

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