1. What is Right Triangle Side from Hypotenuse Calculator?

Definition: This calculator determines the length of a leg in a right triangle when you know the hypotenuse length and one angle.

Purpose: It helps in geometry problems, construction planning, and engineering calculations involving right triangles.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( \text{leg} \) — Length of the triangle side (meters)
• \( \text{hyp} \) — Length of the hypotenuse (meters)
• \( \theta \) — Angle between hypotenuse and adjacent side (degrees)
• \( \sin/\cos \) — Trigonometric function selected

Explanation: The hypotenuse is multiplied by the sine of the angle to get the opposite side, or by the cosine to get the adjacent side.

3. Importance of Right Triangle Calculations

Details: Accurate triangle calculations are essential for construction, engineering, navigation, and various scientific applications.

4. Using the Calculator

Tips: Enter the hypotenuse length, angle (0-90°), and select either sine (for opposite side) or cosine (for adjacent side).

5. Frequently Asked Questions (FAQ)

Q1: When should I use sine vs cosine?
A: Use sine to calculate the side opposite to the angle, cosine for the side adjacent to the angle.

Q2: What's the range for the angle?
A: The angle must be between 0° and 90° for a right triangle.

Q3: Can I use this for non-right triangles?
A: No, this calculator is specifically for right triangles. Use the Law of Sines/Cosines for other triangles.

Q4: How precise are the results?
A: Results are precise to 3 decimal places, suitable for most practical applications.

Q5: What if I know two sides but not the angle?
A: Use the Pythagorean theorem (a² + b² = c²) or inverse trigonometric functions.