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Find the unknown side length, x. Write your answer in simple

Find The Unknown Side Length X Write Your Answer In Simple class=

Sagot :

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