Work out solve right triangle instantly with clear inputs, formula shown and shareable results.
A right triangle is fully determined by any two independent measurements. Pythagoras handles the sides, and the basic ratios sin A = a/c, cos A = b/c and tan A = a/b supply the angles.
Pythagoras
a² + b² = c²
Angle from sides
A = arcsin(a / c) = arctan(a / b)
The hypotenuse is 5 and the angle opposite the leg of 3 is arcsin(0.6) ≈ 36.8699°.
The hypotenuse is always the longest side of a right triangle, so any smaller value describes an impossible triangle.