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 quickly determine the missing side of a right triangle.
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 various engineering applications.
Tips: Enter the lengths of both legs (a and b) in meters. Both values must be > 0.
Q1: Can I calculate a leg if I know the hypotenuse and one leg?
A: Yes, you can rearrange the formula: \( a = \sqrt{c^2 - b^2} \).
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: Does this work for non-right triangles?
A: No, this calculator only works for right triangles (90° angle).
Q4: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.
Q5: Can I use this for 3D calculations?
A: For 3D space, you would need to extend the formula to include the third dimension.