The side ration of a 30-60-90 triangle is …
The side ratios of a 30-60-90 triangle are determined by the relationship between the sides
The side ratios of a 30-60-90 triangle are determined by the relationship between the sides. In a 30-60-90 triangle, the smallest angle is 30 degrees, the medium angle is 60 degrees, and the largest angle is 90 degrees.
The side lengths in a 30-60-90 triangle can be determined by using the following ratios:
– The length of the side opposite the 30-degree angle is always the smallest and is represented by “x”.
– The length of the side opposite the 60-degree angle is the medium length and is equal to √3 times the length of the shortest side.
– The length of the hypotenuse, which is opposite the 90-degree angle, is always twice the length of the shortest side.
So, the side ratios of a 30-60-90 triangle can be summarized as follows:
– Shortest side (opposite the 30-degree angle): x
– Medium side (opposite the 60-degree angle): √3x
– Hypotenuse (opposite the 90-degree angle): 2x
Therefore, the side ratio of a 30-60-90 triangle is x : √3x : 2x.
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