Pythagorean Theorem:
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Definition: This calculator finds the length of an unknown leg in a right triangle when you know the hypotenuse and the other leg.
Purpose: It helps students, engineers, and construction professionals solve right triangle problems quickly and accurately.
The calculator uses the Pythagorean theorem:
Where:
Explanation: The square of the hypotenuse equals the sum of the squares of the two legs. We rearrange this to solve for the unknown leg.
Details: Right triangle calculations are fundamental in geometry, construction, navigation, and many engineering applications.
Tips: Enter the hypotenuse and known leg lengths in meters. Both values must be positive, and the hypotenuse must be longer than the leg.
Q1: What if I get an error?
A: Ensure the hypotenuse is longer than the known leg. If not, you've either entered values incorrectly or don't have a valid right triangle.
Q2: Can I use this for non-right triangles?
A: No, this calculator only works for right triangles (90-degree angle).
Q3: 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.
Q4: How accurate are the results?
A: Results are accurate to 3 decimal places. For greater precision, enter more precise input values.
Q5: What if I know two legs but not the hypotenuse?
A: Use the standard Pythagorean formula: hyp = √(leg1² + leg2²)