📐
Pythagorean Theorem
★★★☆☆High School
📖Definition
In a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides.
📐Formulas
a² + b² = c²
Relationship between the three sides of a right triangle
- aOne leg of the right triangle
- bThe other leg of the right triangle
- cHypotenuse (the longest side, opposite the right angle)
✏️Examples
예제 1★★☆☆☆
Find the hypotenuse of a right triangle with legs of length 3 and 4.
c = √3² + 4² = √25 = 5
예제 2★★★☆☆
Find the missing leg of a right triangle with hypotenuse 13 and one leg 5.
b = √13² - 5² = √144 = 12
📜History
Discovered by: Pythagoras (6th century BCE)
While attributed to the Greek mathematician Pythagoras, this relationship was known to Babylonians and Indians long before.
⚡Applications
Architecture
Verifying right angles and calculating diagonal distances
Surveying
Calculating straight-line distances between points
Computer Graphics
Distance calculation in 2D/3D space
🔗Related Documents
→Prerequisites
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⚡Applications
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