1. What is a Right Triangle Trigonometry Calculator?

Definition: This calculator solves for the sides of a right triangle using trigonometric functions based on the hypotenuse and one angle.

Purpose: It helps students, engineers, and construction professionals quickly calculate triangle dimensions without manual computation.

2. How Does the Calculator Work?

The calculator uses the trigonometric formulas:

Where:

• Hypotenuse — Longest side of the right triangle (meters)
• θ — Angle between hypotenuse and adjacent side (degrees)
• Opposite — Side opposite to angle θ (meters)
• Adjacent — Side adjacent to angle θ (meters)

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

3. Importance of Right Triangle Calculations

Details: Right triangle trigonometry is fundamental in construction, navigation, physics, and engineering for determining distances and angles.

4. Using the Calculator

Tips: Enter the hypotenuse length in meters and the angle in degrees (must be between 0 and 90). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if I know two sides instead?
A: Use the Pythagorean theorem (a² + b² = c²) to find the third side, then inverse trig functions to find angles.

Q2: Why does the angle need to be ≤ 90°?
A: This calculator is for right triangles only, where one angle must be exactly 90° and the other two angles must be acute (<90°).

Q3: How accurate are the results?
A: Results are accurate to 3 decimal places. For higher precision, use more decimal places in your inputs.

Q4: Can I use this for non-right triangles?
A: No, you would need the Law of Sines or Law of Cosines for oblique triangles.

Q5: What's the relationship between these sides?
A: The three sides satisfy the Pythagorean theorem: opposite² + adjacent² = hypotenuse².