The side ration of a 30-60-90 triangle is …
The side ratio of a 30-60-90 triangle is a specific relationship that exists between the lengths of the three sides of the triangle
The side ratio of a 30-60-90 triangle is a specific relationship that exists between the lengths of the three sides of the triangle. In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees respectively.
The side ratio can be derived based on the properties of this triangle. The length of the shortest side (opposite the 30-degree angle) is always represented by x. The length of the side opposite the 60-degree angle is always represented by x√3, and the length of the hypotenuse (the side opposite the 90-degree angle) is always represented by 2x.
To summarize, the side ratio of a 30-60-90 triangle is:
Shortest side (opposite 30 degrees) = x
Side opposite 60 degrees = x√3
Hypotenuse (opposite 90 degrees) = 2x
This side ratio relationship holds true for all 30-60-90 triangles. So, if you know the length of one side in the triangle, you can use the side ratio to determine the lengths of the other sides.
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