Ratio of side lengths of 30⁰-60⁰-90⁰ triangle
A line segment that connects the center of a circle to any point on the circle.
In a 30⁰-60⁰-90⁰ triangle, the sides have a specific ratio that can be determined using trigonometry. Let’s label one of the shorter sides as x. Then, the longer leg is found by multiplying x by the square root of 3, and the hypotenuse is found by multiplying x by 2.
In other words, the ratio of the side lengths is:
shorter leg : longer leg : hypotenuse
x : x√3 : 2x
or simplified:
1 : √3 : 2
So, for example, if the shorter leg is 4 units long, then the longer leg will be 4√3 units long, and the hypotenuse will be 8 units long.
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