Pythagorean Theorem Calculator
How It Works
This pythagorean theorem calculator uses established formulas to provide accurate results.
The basic rule:
- a² + b² = c²
- c = √(a² + b²)
- a = √(c² - b²)
Results are estimates. Consult a professional for critical decisions.
Frequently Asked Questions
What is the Pythagorean theorem?
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) equals the sum of the squares of the other two sides: a² + b² = c².
How do I find a missing leg instead of the hypotenuse?
Rearrange the formula to solve for a leg: a = √(c² - b²). Enter the hypotenuse as Side a and the known leg as Side b, then select 'Missing Leg' from the dropdown.
What is a Pythagorean triple?
A Pythagorean triple is a set of three positive integers (a, b, c) that satisfy a² + b² = c². Common examples include (3, 4, 5), (5, 12, 13), and (8, 15, 17).
Does the Pythagorean theorem work for all triangles?
No, the Pythagorean theorem only applies to right triangles (triangles with one 90-degree angle). For non-right triangles, use the Law of Cosines instead.