Right Triangle Formulas:
From: | To: |
Definition: This calculator computes the hypotenuse and angles of a right triangle based on the lengths of its two legs.
Purpose: It helps students, engineers, and construction professionals solve right triangle problems quickly and accurately.
The calculator uses the Pythagorean theorem and trigonometric functions:
Where:
Explanation: The hypotenuse is calculated using the Pythagorean theorem, while the angle is found using the arctangent of the ratio of the two legs.
Details: Right triangle calculations are fundamental in geometry, construction, navigation, and various engineering applications.
Tips: Enter the lengths of both legs in meters. All values must be positive numbers. The calculator will compute the hypotenuse and the angle opposite to side b.
Q1: What units does this calculator use?
A: The calculator uses meters for length inputs and outputs, but you can use any consistent unit of measurement.
Q2: Can I calculate one side if I know the hypotenuse and one leg?
A: This version requires both legs. For other combinations, you would need a different calculator.
Q3: How accurate are the results?
A: Results are accurate to 3 decimal places for lengths and 2 decimal places for angles.
Q4: What if I need the other angle?
A: The other acute angle in a right triangle is always (90° - θ).
Q5: Does this work for non-right triangles?
A: No, this calculator is specifically for right triangles. For other triangles, you would need the Law of Cosines or Law of Sines.