Using Pythagorean Triples

I'm confused regarding the use of pythagorean triples. If I have a 30, 60, 90 triangle, I know that it is x, x root 3, 2x. However, I am confused about the placement. I know that 2x is the hypoteneus, but how do I determine which side is x and which is x root 3, if I can't tell which side is longer?

Re: Using Pythagorean Triples

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**jgolden1** I'm confused regarding the use of pythagorean triples. If I have a 30, 60, 90 triangle, I know that it is x, x root 3, 2x. However, I am confused about the placement. I know that 2x is the hypoteneus, but how do I determine which side is x and which is x root 3, if I can't tell which side is longer?

First of all, we know that $x>0$ so that $x<x\sqrt3<2x$.

In any triangle the longer side is opposite the larger angle.