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Right Triangle Trigonometry Calculator

A right triangle’s perpendicular legs determine its hypotenuse and both acute angles through the Pythagorean theorem and tangent ratio.

How to use this calculator

  1. Enter the values requested by the Right Triangle Trig and keep all units consistent.
  2. Check the formula and worked example before relying on the displayed result.
  3. Change one input at a time when comparing alternative scenarios.

Formula and method

c = √(a² + b²); angle A = arctan(a ÷ b)

  • The calculator applies the stated relationship to the inputs entered by the visitor. Intermediate calculations use full numeric precision before display rounding.
  • This tool assumes the two entered sides meet at a right angle.

Worked examples

Worked example: Right Triangle Trig

Legs are 3 and 4 units

The hypotenuse is 5; the acute angles are about 36.87° and 53.13°.

The hypotenuse is 5; the acute angles are about 36.87° and 53.13°.

Understanding the result

Use the output as a calculation for the chosen assumptions, not as an explanation of why a real-world result occurred.

This tool assumes the two entered sides meet at a right angle.

Important notes

This tool assumes the two entered sides meet at a right angle.

Confirm the units, source measurements, rounding convention and context before using the result for a real project or decision.

Frequently asked questions

What does this Right Triangle Trig calculate?

A right triangle’s perpendicular legs determine its hypotenuse and both acute angles through the Pythagorean theorem and tangent ratio.

Which assumptions matter most?

This tool assumes the two entered sides meet at a right angle.

Can the result replace professional or domain-specific guidance?

No. The tool provides arithmetic under its stated assumptions; check applicable specifications, accounting conventions, standards or qualified guidance for consequential decisions.

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Related explanations

Learn the method behind the number or compare the terminology before using the calculator.

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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.

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