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Right Triangle Solver

Solve a right triangle from one angle and a side.

Inputs

Results

Opposite5
Adjacent8.660254
Other angle60°
Area21.65064

Chart

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How to use the right triangle calculator

Solve a right triangle from one angle and a side. Enter angle θ, hypotenuse in the fields above; the opposite, adjacent, other angle, area are computed instantly and plotted on the chart so you can see how the answer changes.

Formula

Opposite = h × sin(th)
Adjacent = h × cos(th)
Other angle (°) = 90-th
Area = 0.5 × [Opposite] × [Adjacent]

Variables

  • th — Angle θ (°)
  • h — Hypotenuse

Worked example

With angle θ = 30 °, hypotenuse = 10, the calculator gives opposite ≈ 5; adjacent ≈ 8.660254; other angle ≈ 60 °; area ≈ 21.65064.

Frequently asked questions

What is the formula for the right triangle calculation?

Opposite = h × sin(th). Adjacent = h × cos(th). Other angle (°) = 90-th. Area = 0.5 × [Opposite] × [Adjacent]. Here th is angle θ (°), h is hypotenuse.

What inputs do I need for the right triangle solver calculator?

You need angle θ in °, hypotenuse. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use this calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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