Unveiling the Mystery of 30-60-90 Triangles: Understanding the Set Ratio of Side Lengths

The side ration of a 30-60-90 triangle is …

1 : √3 : 2

The side ratio of a 30-60-90 triangle is a set ratio of the three sides of the triangle. In a 30-60-90 triangle, the ratio of the side lengths is 1:√3:2. This means that the length of the hypotenuse of the triangle is twice the length of the shortest side, and the length of the longer leg (the side opposite the 60-degree angle) is √3 times the shortest side.

For example, if the shortest side of a 30-60-90 triangle is 5 units long, the longer leg (the side opposite the 60-degree angle) would be 5√3 units long, and the hypotenuse of the triangle would be 10 units long. This ratio always holds true for any 30-60-90 triangle, regardless of the actual length of the sides.

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