Calculate the missing side of a right triangle using a² + b² = c². Essential for geometry and construction.
The Pythagorean Theorem is one of the most famous and useful rules in geometry. It describes the fundamental relationship between the three sides of a right-angled triangle. Whether you are an architect calculating roof pitches, a navigator determining distance, or a student solving a math problem, this theorem is an essential tool. Our Pythagorean Theorem Calculator allows you to input any two known sides of a right triangle to find the length of the third side instantly. It handles both legs (a and b) and the hypotenuse (c), providing precise decimal results.
输入任意两条边长来计算第三条。
缺失的边长
5
Resulting side length is 5
c = √(a² + b²) = √(3² + 4²)
a3
b4
工作原理
The calculator identifies which two sides you have provided. If you provide the two legs, it squares them, adds them together, and takes the square root to find the hypotenuse. If you provide the hypotenuse and one leg, it subtracts the square of the leg from the square of the hypotenuse and takes the square root to find the missing leg.
计算公式
a² + b² = c²
计算示例
1. **Finding Hypotenuse**: Legs are 3 and 4. 3² + 4² = 9 + 16 = 25. √25 = **5**.
2. **Finding a Leg**: Hypotenuse is 13, one leg is 5. 13² - 5² = 169 - 25 = 144. √144 = **12**.