valerie3814 valerie3814
  • 07-05-2021
  • 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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kyosomastantbh
kyosomastantbh kyosomastantbh
  • 07-05-2021

Answer:

6

Step-by-step explanation:

its a right angle so to find a side use a Pythagorean theorem

Pythagorean theorem =

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+b^2[/tex] are the sides

[tex]c^2[/tex] is the hypotenuse

In this case we need the hypotenuse

[tex]3\sqrt{3} ^2 + 3^2 = c^2[/tex]

[tex]27 + 9=c^2[/tex]

[tex]36=c^2[/tex]

the opposite of squaring is square rooting so:

[tex]\sqrt{36} =6[/tex]

therefore the answer is 6 ^-^

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