Pythagorean Theorem:
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Definition: This calculator computes the hypotenuse of a right-angled triangle using the Pythagorean theorem.
Purpose: It helps students, engineers, and construction professionals quickly determine the length of the hypotenuse when the other two sides are known.
The calculator uses the formula:
Where:
Explanation: The squares of the two shorter sides are added together, and the square root of this sum gives the hypotenuse length.
Details: Accurate right angle calculations are essential in construction, navigation, engineering, and many STEM fields.
Tips: Enter the lengths of both sides (a and b) in meters. Both values must be > 0. The result will be in meters.
Q1: Can I use this for non-right triangles?
A: No, this calculator only works for right-angled triangles. For other triangles, use the Law of Cosines.
Q2: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as both inputs use the same unit.
Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.
Q4: Can I calculate a side if I know the hypotenuse?
A: Not with this calculator. You would need to rearrange the formula to \( a = \sqrt{c² - b²} \).
Q5: What's the maximum input value?
A: There's no strict maximum, but extremely large values might cause floating-point precision issues.