1. What is a Right Triangle Side Calculator?

Definition: This calculator finds the lengths of the sides of a right triangle when given the hypotenuse and one angle.

Purpose: It helps students, engineers, and designers quickly calculate triangle dimensions for various applications.

2. How Does the Calculator Work?

The calculator uses trigonometric formulas:

Where:

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

Explanation: The calculator converts the angle to radians, then applies trigonometric functions to find the side lengths.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in construction, navigation, engineering, and physics applications.

4. Using the Calculator

Tips: Enter the hypotenuse length (must be > 0) and angle (must be between 0-90 degrees). The calculator will output both side lengths.

5. Frequently Asked Questions (FAQ)

Q1: What if I know two sides but not the hypotenuse?
A: Use the Pythagorean theorem: \( hyp = \sqrt{a^2 + b^2} \).

Q2: Can I use this for non-right triangles?
A: No, this calculator only works for right triangles. Use the Law of Sines/Cosines for other triangles.

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

Q4: What angle should I use?
A: Use the angle between the hypotenuse and the side you want as the adjacent side (a).

Q5: Does this work for any unit of measurement?
A: Yes, as long as you're consistent. The calculator outputs in the same units as your hypotenuse input.