If I know the length of the hypotenuse of a right triangle ONLY, is it possible to find the lengths of the remaining 2 sides of that same triangle?
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No. Any right triangle can be scaled to have any desired hypotenuse. – lulu Jul 27 '16 at 14:12
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oh, okay then, Any workarounds, maybe? – BloodDrunk Jul 27 '16 at 14:17
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Knowing for example that the length of the hypotenuse is $65$, how can you decide for example between sides 39 and 52 or sides 25 and 60 ? Because by Pythagoras $65^2 =39^2 + 52^2$ and $65^2= 25^2 + 60^2$... – Jean Marie Jul 27 '16 at 14:19
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Workaround to what? Your desired claim simply isn't true. To be precise, given any angle $0<\theta<\frac {\pi}2$ there is a right triangle with hypotenuse $1$ and legs ${sin(\theta),\cos(\theta)}$ – lulu Jul 27 '16 at 14:19
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Okay then, just wanted to be sure that there is no way. Thanks for answers – BloodDrunk Jul 27 '16 at 15:05