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30-60-90 Triangle Calculator

Math
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Calculates the sides of a 30-60-90 right triangle given one side length.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Side Opposite 30° (a), Side Opposite 60° (b), Hypotenuse (c), and Known Side in the units shown.

Step 2

Read Hypotenuse (c) and Side b (opposite 60°) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

a = 5

Side Opposite 30° (a): 5 units; Side Opposite 60° (b): 0 units; Hypotenuse (c): 0 units; Known Side: Side a (opposite 30°)

Hypotenuse (c): 10 units; Side b (opposite 60°): 8.660254038 units

a = 10

Side Opposite 30° (a): 10 units; Side Opposite 60° (b): 0 units; Hypotenuse (c): 0 units; Known Side: Side a (opposite 30°)

Hypotenuse (c): 20 units; Side b (opposite 60°): 17.32050808 units

c = 10

Side Opposite 30° (a): 0 units; Side Opposite 60° (b): 0 units; Hypotenuse (c): 10 units; Known Side: Hypotenuse c

Hypotenuse (c): 10 units; Side b (opposite 60°): 8.660254038 units

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