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 determine the missing side of a right triangle.
The calculator uses the formula:
Where:
Explanation: The square of the hypotenuse equals the sum of the squares of the other two sides.
Details: Right triangle calculations are fundamental in geometry, construction, navigation, and many engineering applications.
Tips: Enter the lengths of both legs in meters. Both values must be > 0.
Q1: Can I calculate a leg if I know the hypotenuse and other leg?
A: Yes, you can rearrange the formula: \( a = \sqrt{c^2 - b^2} \).
Q2: What units does this calculator use?
A: The calculator uses meters, but the same formula works for any unit of length.
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 accurate are the results?
A: Results are mathematically precise, though practical measurements may have some error.
Q5: Can I use this for 3D right triangles?
A: For 3D, the formula extends to \( d = \sqrt{a^2 + b^2 + c^2} \).