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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=

Sagot :

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 ^-^