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勾股定理计算器

使用 a² + b² = c² 计算直角三角形缺失的边。

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

Calculation Examples

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**.

Why use this tool in your daily life?

Triangles are everywhere in our built world. This service is the standard for ensuring your corners are square and your distances are correct, making it a mandatory tool for construction and design.

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