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30 60 90 triangle calculator

A 30–60–90 triangle has side ratios 1 : √3 : 2.

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A 30–60–90 triangle has side ratios 1 : √3 : 2.

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Precision and calculation record
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    Formula and assumptions
    Enter the shorter leg, opposite the 30-degree angle. The long leg is opposite 60 degrees and the hypotenuse is opposite 90 degrees.
    Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.
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    Updated 
    Using 30 60 90 triangle calculator
    A 30–60–90 triangle has side ratios 1 : √3 : 2.
    Enter the shorter leg, opposite the 30-degree angle. The long leg is opposite 60 degrees and the hypotenuse is opposite 90 degrees.
    Next: Basic calculator
    A worked example
    With short leg opposite 30° = 3, the long leg is 5.196152422706632.
    Before you use the result
    Enter the shorter leg, opposite the 30-degree angle. The long leg is opposite 60 degrees and the hypotenuse is opposite 90 degrees.
    Example results for short leg opposite 30°
    These examples use the formula above. They are reference calculations, not recommended settings.
    Short leg opposite 30°Long leg
    1.52.59807621135
    35.19615242271
    610.3923048454
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    ToolOctopus. “30 60 90 triangle calculator.” Updated 2026-09-26. https://tooloctopus.com/30-60-90-triangle-calculator.
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