Unlocking The Secrets Of 30⁰-60⁰-90⁰ Triangles: Discover The Specific Ratio Of Side Lengths Using Trigonometry

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.

More Answers:
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Mastering Circle Circumference Calculation: Formulas And Examples
Calculating Circle Area: A Step-By-Step Guide With Formula And Examples Including Pi’S Role.

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