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Since the triangle is a right triangle, then it has a 90 degree angle. Given the fact that another of the angles is 60 degrees, the third angle MUST be 30 degrees. This is because the three angles in a triangle must add up to 180 degrees total.

So you are talking about one of the "special" triangles... a 30-60-90 triangle. In a 30-60-90 triangle, the ratios of the lengths never changes, and here is how your figure them out.

Find the 30 degree angle. The leg opposite that angle should be of length 1.

Find the 60 degree angle. The leg opposite that angle should be sqrt(3).

Find the hypotenuse. Its length should be 2.

So for a 30-60-90 triangle, the lengths are 1-sqrt(3)-2 OR any multiple of this.

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Q: How do you find the length of the sides if the right triangle has 60 degrees?
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