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Help figure this out please, I used the last of my points!

Help Figure This Out Please I Used The Last Of My Points class=

Sagot :

In a right triangle, the side that is opposite to a 30 degree angle is equal to half the hypotenuse (you can search it up)

So, the hypotenuse is equal to 3 x 2 = 6

Using the pythagorean theorem, we have :

[tex]x^{2} +3^{2} =6^{2}[/tex]
[tex]x^{2} =6^{2} -3^{2}[/tex] [tex]=36 - 9[/tex] [tex]= 27[/tex]
[tex]x = \sqrt{27}[/tex] [tex]= 5.19615242271...[/tex] (round to 5.2)

Simplify :

[tex]\sqrt{27} = \sqrt{9.3} = 3.\sqrt{3}[/tex]

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