Pythagorean Theorem Solver Calculadora
Solve for any missing side of a right triangle using the Pythagorean theorem (a² + b² = c²). Includes step-by-step calculations and visual representation.
Step 1: Enter any two known sides of your right triangle (Side a, Side b, or Hypotenuse c).
Step 2: Leave the third side empty — the tool will automatically identify which side needs to be calculated.
Step 3: Click 'Solve Triangle' to see the result, the step-by-step derivation, and a visual representation of the triangle.
Step 4: Check if your sides form a 'Pythagorean Triple' (whole number solutions like 3, 4, 5).
The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
1. To find the hypotenuse: c = √(a² + b²) 2. To find a leg: a = √(c² - b²) or b = √(c² - a²)
This principle is the foundation of Euclidean geometry and is used extensively in construction, navigation, and physics.
Named after the ancient Greek mathematician Pythagoras, this theorem is one of the most famous and used mathematical principles. Beyond simple school geometry, it is used to calculate the shortest distance between two points (the Euclidean distance), determine the pitch of a roof, or even find the size of a TV screen based on its diagonal.
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