免费勾股定理计算器

利用勾股定理计算直角三角形的任一边长。

C

5.0000

面积6.0000
周长12.0000

公式

Pythagorean Theorem

Formula

c = √(a² + b²)

For a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.

Solving for a Side

  • c = √(a² + b²)
  • a = √(c² - b²)
  • b = √(c² - a²)
  • 计算示例

    A right triangle with sides a=3 and b=4.

    1. 01c² = 3² + 4² = 9 + 16 = 25
    2. 02c = √25 = 5
    3. 03Area = 0.5 × 3 × 4 = 6
    4. 04Perimeter = 3 + 4 + 5 = 12

    常见问题

    What is the Pythagorean theorem?

    The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse (the longest side, opposite the right angle).

    What are Pythagorean triples?

    Pythagorean triples are sets of three whole numbers that satisfy a² + b² = c². Common examples: (3,4,5), (5,12,13), (8,15,17), (7,24,25).

    学习

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