1. What is a Right Triangle Calculator One Side One Angle?

Definition: This calculator computes the length of the adjacent or opposite side in a right triangle when one side length and one acute angle are known.

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

2. How Does the Calculator Work?

The calculator uses the tangent trigonometric function:

Where:

• side1 — Known side length (meters)
• θ — Known angle (degrees)
• side2 — Calculated side length (meters)

Explanation: The tangent of the angle gives the ratio between the opposite and adjacent sides in a right triangle.

3. Importance of Right Triangle Calculations

Details: Accurate right triangle calculations are essential in construction, navigation, physics, and many technical fields where angular relationships matter.

4. Using the Calculator

Tips: Enter the known side length (must be > 0) and the known angle (must be between 0 and 90 degrees). The calculator assumes side1 is adjacent to the given angle.

5. Frequently Asked Questions (FAQ)

Q1: What if side1 is the hypotenuse?
A: Use sine or cosine instead: side2 = hypotenuse × sin(θ) or cos(θ) depending on which side you need.

Q2: How precise are the results?
A: Results are precise to 3 decimal places. For exact values, use exact trigonometric ratios when possible.

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

Q4: What units should I use?
A: The calculator uses meters, but any consistent unit can be used as long as you maintain the same unit throughout.

Q5: Why is my angle limited to less than 90°?
A: Right triangles by definition have one 90° angle, so the other angles must be acute (less than 90°).