Hypotenuse Formula:
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Definition: This calculator determines the length of the hypotenuse in a right-angled triangle using the Pythagorean theorem.
Purpose: It helps students, engineers, and construction professionals quickly calculate the longest side of a right triangle.
The calculator uses the formula:
Where:
Explanation: The squares of both sides are added together, and the square root of the sum gives the hypotenuse length.
Details: Accurate hypotenuse calculation is essential in construction, navigation, and various engineering applications involving right angles.
Tips: Enter the lengths of both sides in meters. All values must be > 0.
Q1: Does this work for any triangle?
A: No, only for right-angled triangles where one angle is exactly 90 degrees.
Q2: What units should I use?
A: The calculator uses meters, but any consistent unit can be used as long as both sides are in the same unit.
Q3: What if I know the hypotenuse and one side?
A: Rearrange the formula to \( b = \sqrt{c² - a²} \) to find the missing side.
Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect right triangles.
Q5: Can I use this for 3D calculations?
A: For 3D space, you would need to extend the formula to include the third dimension.