Compute sides of a right triangle (a^2 + b^2 = c^2).
输入直角三角形任意两条边，自动计算第三边和锐角。
| Item | Formula / Note | Source / Standard |
|---|---|---|
| Pythagorean theorem | a^2 + b^2 = c^2, where c is the hypotenuse | Euclid, Elements, Book I, Prop. 47; Zhoubi Suanjing (Chinese gnomon text) |
| Converse | If a^2 + b^2 = c^2, the triangle is right-angled | Euclid, Elements, Book I, Prop. 48 |
| Pythagorean triples | Positive integer triples with a^2 + b^2 = c^2, e.g. 3-4-5 | Euclid, Elements, Book X, generating formula |
| Euclid formula | For m > n, take a = m^2 - n^2, b = 2mn, c = m^2 + n^2 | Euclid, Elements, Book X |
勾股定理指出：直角三角形两条直角边的平方和等于斜边的平方。本工具不仅能求第三边，还能计算两个锐角的大小。