Triangle Side Calculator Right Angle

Pythagorean Theorem:

\[ c = \sqrt{a² + b²} \]

Hypotenuse (c): m

1. What is a Right Triangle Side Calculator?

Definition: This calculator computes the hypotenuse of a right triangle using the Pythagorean theorem based on the lengths of the other two sides.

Purpose: It helps students, engineers, and construction professionals quickly determine the length of the hypotenuse in right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ c = \sqrt{a² + b²} \]

Where:

\( c \) — Hypotenuse (meters)
\( a \) — First leg of the triangle (meters)
\( b \) — Second leg of the triangle (meters)

Explanation: The sum of the squares of the two legs equals the square of the hypotenuse in a right triangle.

3. Importance of Right Triangle Calculations

Details: These calculations are fundamental in geometry, construction, navigation, and various engineering applications where right angles are involved.

4. Using the Calculator

Tips: Enter the lengths of both legs in meters. Both values must be greater than 0. The calculator will output the hypotenuse length.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate a leg if I know the hypotenuse and other leg?
A: Yes, you can rearrange the formula: \( a = \sqrt{c² - b²} \). This calculator focuses on finding the hypotenuse.

Q2: What units does this calculator use?
A: The calculator uses meters (m) by default, but the formula works with any consistent unit of measurement.

Q3: Does this work for non-right triangles?
A: No, the Pythagorean theorem only applies to right triangles. For other triangles, you would need the Law of Cosines.

Q4: How accurate are the results?
A: The results are mathematically precise, displayed to 3 decimal places for practical use.

Q5: What if I only know one side and an angle?
A: You would need to use trigonometric functions (sine, cosine) which aren't covered by this calculator.