Unlock the power of trigonometry with our intuitive online calculator. Easily determine unknown sides and angles of any right-angled triangle. Whether you need the hypotenuse, opposite, adjacent, or specific angles, our tool provides instant, accurate results for students and professionals alike. Master SOH CAH TOA and the Pythagorean Theorem!
Formula:
This calculator solves for unknown sides and angles in a right-angled triangle using the fundamental principles of trigonometry and the Pythagorean theorem. You can input any two known values (sides 'a', 'b', 'c' or acute angles 'A', 'B') to find the rest.
- Sides: 'a' (opposite to angle A), 'b' (opposite to angle B), 'c' (hypotenuse).
- Angles: 'A' (angle opposite side 'a'), 'B' (angle opposite side 'b').
The core formulas are:
- Pythagorean Theorem:
c2 = a2 + b2(where 'c' is the hypotenuse, and 'a', 'b' are the other two sides). - SOH CAH TOA:
sin(A) = Opposite / Hypotenuse = a / ccos(A) = Adjacent / Hypotenuse = b / ctan(A) = Opposite / Adjacent = a / b
- Angle Sum:
A + B + 90° = 180°(for acute angles A and B).