Answer:
C
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 32² = 48²
x² + 1024 = 2304 ( subtract 1024 from both sides )
x² = 1280 ( take the square root of both sides )
x = [tex]\sqrt{1280}[/tex]
= [tex]\sqrt{256(5)}[/tex]
= [tex]\sqrt{256}[/tex] × [tex]\sqrt{5}[/tex]
= 16[tex]\sqrt{5}[/tex] → C