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# Triangle trigonometry help

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if the angles of a triangle are 90,60 and 30, the side opposite the 90 is 90, and the side opposite the 30 is 57, then what is the side opposite the 60?

Guest May 2, 2017
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In a 30 60 90 triangle the ratio of  the sides should be x: x root 3: 2x respectively so if the side across from the 90 degree angle is 90 then the short side should be 45, and the other side should be 45 root 3.

Guest May 2, 2017
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Wrong. The figure cannot be constructed.

If the side opposite to 90 deg is 90, then the side opposite to 30 deg should be $$90\sin 30 = 90\times \dfrac{1}{2}=45$$ and should not be 57

MaxWong  May 3, 2017