Pythagorean Theorem:
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Definition: This calculator computes the hypotenuse of a right triangle using the Pythagorean theorem.
Purpose: It helps students, engineers, and construction professionals solve right triangle problems quickly and accurately.
The calculator uses the formula:
Where:
Explanation: The sum of the squares of the two legs equals the square of the hypotenuse in a right triangle.
Details: Right triangle calculations are fundamental in geometry, construction, navigation, and many engineering applications.
Tips: Enter the lengths of both legs (a and b) in meters. Both values must be > 0.
Q1: Can I calculate one leg if I know the hypotenuse and other leg?
A: Yes, rearrange the formula: \( a = \sqrt{c² - b²} \)
Q2: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as both sides use the same unit.
Q3: Does this work for non-right triangles?
A: No, for other triangles you would need to use the Law of Cosines or Law of Sines.
Q4: How precise are the results?
A: Results are calculated to 3 decimal places for most practical applications.
Q5: Can I calculate angles with this?
A: Not directly, but you could use trigonometric functions once you have all side lengths.