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Right Triangle Formula:
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The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This fundamental principle in geometry is named after the ancient Greek mathematician Pythagoras.
The calculator uses the Pythagorean theorem formula:
Where:
Explanation: The formula calculates the length of the hypotenuse when you know the lengths of the other two sides of a right triangle.
Details: The Pythagorean theorem is essential in various fields including architecture, engineering, navigation, and computer graphics. It's used to calculate distances, design structures, and solve spatial problems.
Tips: Enter the lengths of both sides (a and b) in meters. Both values must be positive numbers. The calculator will compute the hypotenuse length.
Q1: Can this calculator be used for non-right triangles?
A: No, the Pythagorean theorem only applies to right triangles. For other triangles, you would need different formulas like the Law of Cosines.
Q2: What units should I use for the measurements?
A: The calculator uses meters, but the Pythagorean theorem works with any consistent unit of measurement (cm, inches, feet, etc.).
Q3: How accurate are the results?
A: The results are mathematically precise based on the inputs. The calculator displays results with up to 4 decimal places for precision.
Q4: Can I calculate one of the sides if I know the hypotenuse?
A: Yes, the formula can be rearranged to solve for either side: \( a = \sqrt{c^2 - b^2} \) or \( b = \sqrt{c^2 - a^2} \).
Q5: Does the theorem work for all right triangles?
A: Yes, the Pythagorean theorem applies to all right triangles, regardless of their size or proportions.