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This has to do with Ratios of Special Right Triangles. Help!

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Answer:

This has to do with RATIOS of SPECIAL Right Triangles? The answer is yes.

Considering the right triangle GIVEN, it has ratios x, x\sqrt{3}, 2x

2x is hypotenuse

x\sqrt{3} is opposite to angle 30º

x is adjacent to angle 30º

Using Pythagorean THEOREM:

(2x)^2=x^2+(x\sqrt{3})^2

(2x)^2=x^2+(4)^2\\4x^2=x^2+16\\3x^2=16\\x=\frac{4}{\sqrt{3} } \\x=\frac{4\sqrt{3} }{9}



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