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 longest 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 many engineering applications.
Tips: Enter the lengths of both legs (must be positive numbers). The calculator will compute the hypotenuse.
Q1: What units should I use?
A: Any consistent units (meters, feet, inches) can be used as long as both legs are in the same units.
Q2: Does this work for non-right triangles?
A: No, this calculator only works for triangles with a 90-degree angle.
Q3: What if I know the hypotenuse and one leg?
A: Rearrange the formula: \( a = \sqrt{c^2 - b^2} \) to find the missing leg.
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 calculations?
A: The Pythagorean theorem can be extended to 3D: \( d = \sqrt{a^2 + b^2 + c^2} \).