Right Triangle Calculator
Calculate all sides and angles of a right triangle. Enter any two values (legs, hypotenuse, or angles) to solve for the rest instantly using trigonometry.
About Right Triangles
A Right Triangle is a triangle where one of the angles is exactly 90 degrees (a right angle). The side opposite the right angle is the hypotenuse, which is always the longest side.
Trigonometric Ratios (SOH CAH TOA)
These ratios relate the angles to the lengths of the sides:
- Sine (sin): Opposite / Hypotenuse
- Cosine (cos): Adjacent / Hypotenuse
- Tangent (tan): Opposite / Adjacent
Pythagorean Theorem
For finding side lengths when two sides are known:a² + b² = c²
? Frequently Asked Questions
You use inverse trigonometric functions. For example, if you have sides 'a' and 'b', then Angle A = arctan(a/b).
It is a mnemonic to remember trig ratios: Sine is Opposite/Hypotenuse, Cosine is Adjacent/Hypotenuse, Tangent is Opposite/Adjacent.
No. Since one angle is 90° and the sum of all angles must be 180°, the other two angles must be acute (less than 90°).