1. What is a Right Triangle Side Calculator?

Definition: This calculator computes the length of the opposite side in a right triangle using trigonometric functions.

Purpose: It helps students, engineers, and designers quickly solve for unknown sides in right triangles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• opp — Length of the side opposite to angle θ (meters)
• hyp — Length of the hypotenuse (meters)
• θ — Angle in degrees (between 0° and 90°)

Explanation: The sine function relates the ratio of the opposite side to the hypotenuse in a right triangle.

3. Importance of Right Triangle Calculations

Details: These calculations are fundamental in trigonometry, physics, engineering, and construction applications.

4. Using the Calculator

Tips: Enter the hypotenuse length (must be > 0) and angle (must be between 0° and 90°). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What if my angle is exactly 90°?
A: At 90°, the opposite side equals the hypotenuse (sin(90°) = 1).

Q2: Can I use this for non-right triangles?
A: No, this calculator is specifically for right triangles. Use the Law of Sines for other triangles.

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q4: What units should I use?
A: The calculator uses meters, but any consistent unit can be used (results will be in same unit).

Q5: Can I calculate other sides?
A: For adjacent side, use cos(θ) instead of sin(θ). We may add this functionality in future updates.