Solve every side, angle, area and perimeter of a right triangle from any two known values.
Selected: Two legs (a, b) — right angle is always at C, angle A is opposite side a, angle B opposite side b.
The right angle is always at vertex C. Side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse (opposite the right angle at C) — this labeling stays fixed across every input mode.
The Pythagorean Theorem calculator only solves for a missing side when you already know two of the three sides. This calculator can start from any two known values — including one side plus one angle — and solves for every side, angle, area and perimeter at once.
It's the length of the perpendicular line dropped from the right angle (C) straight down to the hypotenuse. It's calculated as (a × b) / c, which comes from the fact that this altitude splits the original triangle into two smaller triangles similar to it.