Question
The shortest side of a 30-60-90 triangle is opposite which angle? (1 point)
Ask by Summers Ray. in the United States
Jan 23,2025
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Answer
The shortest side is opposite the 30-degree angle.
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Beyond the Answer
In a 30-60-90 triangle, the shortest side is always opposite the 30-degree angle. This special triangle has side lengths that follow a specific ratio: the side opposite the 30-degree angle measures ‘x,’ the side opposite the 60-degree angle measures ‘x√3,’ and the hypotenuse measures ‘2x.’ It’s a neat little relationship that makes calculations a breeze!
This triangle is handy in real-world applications, especially in architecture and engineering. For instance, when designing roofs or ramps, the angles often complement the structure’s stability and aesthetics. By understanding how to work with the 30-60-90 triangle, you can simplify your calculations and ensure precise designs!