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Pythagorean Formula

Explanation

A right triangle is a triangle that has one angle equal to 90°.

In a right triangle, there is a special relationship between the three sides called the Pythagorean formula.

This formula allows us to find a missing side when we know the other two sides.

Formula / Rule

In any right triangle:

c² = a² + b²

Where:
◉ c is the hypotenuse (the longest side, opposite the 90° angle)
◉ a and b are the other two sides (called the legs)

Example

Find the hypotenuse x when the sides are 3 and 4.

Step 1:
x² = 3² + 4²

Step 2:
x² = 9 + 16 = 25

Step 3:
x = 5

✅ So the hypotenuse is 5

Practice

  • More Examples
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Continue Learning

  1. Pythagorean Formula
  2. Pythagoras Theorem (a² + b² = c²) – Visual Proof 1
  3. Pythagoras Theorem (a² + b² = c²) – Visual Proof 2
  4. Pythagorean Theorem (Example)

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