Pythagorean Theorem:
From: | To: |
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 length of the hypotenuse when the other two sides are known.
The calculator uses the Pythagorean theorem:
Where:
Explanation: The squares of the two legs are added together, and the square root of the sum gives the hypotenuse length.
Details: Right triangle calculations are fundamental in geometry, construction, navigation, and many engineering applications.
Tips: Enter the lengths of both legs in meters (or any consistent unit). All values must be > 0.
Q1: Can I use different units for the sides?
A: Yes, as long as both sides use the same unit (meters, feet, etc.), the result will be in that same unit.
Q2: What if I know the hypotenuse and one side?
A: Rearrange the formula: \( a = \sqrt{c² - b²} \). We may add this functionality in a future version.
Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.
Q4: Does this work for non-right triangles?
A: No, this calculator only works for right triangles. For other triangles, use the Law of Cosines.
Q5: Can I calculate the area with this?
A: Not directly, but you can easily calculate area as \( \frac{1}{2} \times a \times b \) once you have both legs.