1. What is a Triangle Side Calculator for Right Triangles?

Definition: This calculator computes the length of the adjacent side in a right triangle using the hypotenuse and an angle.

Purpose: It helps students, engineers, and designers solve right triangle problems quickly and accurately.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Adjacent side (meters)
• \( hyp \) — Hypotenuse (meters)
• \( \theta \) — Angle between hypotenuse and adjacent side (degrees)

Explanation: The cosine of the angle relates the adjacent side to the hypotenuse in a right triangle.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in trigonometry, engineering, architecture, and physics applications.

4. Using the Calculator

Tips: Enter the hypotenuse length (must be > 0) and angle (must be between 0-90 degrees). The angle is measured between the hypotenuse and the side you're calculating.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the opposite side instead?
A: Use the formula \( a = hyp \times \sin(\theta) \) for the opposite side calculation.

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

Q3: What units should I use?
A: Any consistent length units work (meters, feet, etc.), but the calculator displays meters by default.

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

Q5: What if my angle is in radians?
A: Convert radians to degrees first (1 radian ≈ 57.2958 degrees).