All 30-60-90-degree triangles have sides with the same basic ratio. If you look at the 30–60–90-degree triangle in radians, it translates to the following:
The shortest leg is across from the 30-degree angle.
The length of the hypotenuse is always two times the length of the shortest leg.
You can find the long leg by multiplying the short leg by the square root of 3.
Note: The hypotenuse is the longest side in a right triangle, which is different from the long leg. The long leg is the leg opposite the 60-degree angle.
The figure illustrates the ratio of the sides for the 30-60-90-degree triangle.
A 30-60-90-degree right triangle.
If you know one side of a 30-60-90 triangle, you can find the other two by using shortcuts. Here are the three situations you come across when doing these calculations:
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