riyah3935
riyah3935 riyah3935
  • 08-01-2022
  • Mathematics
contestada

Find the length of the third side. If necessary, write in simplest radical form.

Find the length of the third side If necessary write in simplest radical form class=

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altavistard
altavistard altavistard
  • 08-01-2022

Answer:

6

Step-by-step explanation:

This is a right triangle, and so the Pythagorean Theorem applies.  The legs of this triangle are 3√3 and 3; squaring these gives us 9(3) = 27 and 9.  Then, this Theorem gives us the length of the hypotenuse as

h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.

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