Monday, March 10, 2025

Pythagorean Theorem Calculator

Pythagorean Theorem Calculator

Pythagorean Theorem Calculator

Enter two sides of a right triangle to calculate the missing side using the Pythagorean theorem.

Result:

Pythagorean Theorem Calculator - A Complete Guide

The **Pythagorean Theorem** states that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.

Formula:

✔ **c² = a² + b²** (To find the hypotenuse) ✔ **a = √(c² - b²)** (To find side a) ✔ **b = √(c² - a²)** (To find side b)

How to Use the Pythagorean Theorem Calculator?

1. **Choose what to find**: Hypotenuse (c) or one of the legs (a or b). 2. **Enter the known sides**: Fill in the two known values. 3. **Click Calculate**: Instantly see the missing side. 4. **Use for Real-Life Applications**: Great for engineering, construction, and geometry problems.

Real-Life Uses of Pythagorean Theorem

  • Used in **construction and architecture** to measure right angles.
  • Helps in **navigation and distance calculations**.
  • Essential in **physics and engineering** for force and motion calculations.

Example Calculation:

If a right triangle has sides **a = 3** and **b = 4**, then:

\[ c = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \]

The hypotenuse is **5 units**.

Use this **Pythagorean Theorem Calculator** for quick and easy calculations!

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