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

Definition: This calculator computes missing angles and sides of a right triangle when given any two known values.

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

2. How Does the Calculator Work?

The calculator uses these fundamental formulas:

Where:

• \( \theta \) — Angle in degrees
• \( opp \) — Length of opposite side (meters)
• \( adj \) — Length of adjacent side (meters)
• \( hyp \) — Length of hypotenuse (meters)

Explanation: The calculator uses trigonometric functions (sine, cosine, tangent) and the Pythagorean theorem to find missing values.

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 any two known values (two sides or one side and one angle)
• Leave other fields empty to be calculated
• All length values must be positive numbers
• Angle values must be between 0 and 90 degrees

5. Frequently Asked Questions (FAQ)

Q1: What's the minimum information needed?
A: You need any two values (two sides or one side and one angle) to calculate the rest.

Q2: How accurate are the calculations?
A: Calculations are accurate to 3 decimal places for lengths and 2 decimal places for angles.

Q3: Can I calculate area with this?
A: Not directly, but once you have both legs (opposite and adjacent), area = (opp × adj)/2.

Q4: What if I enter all four values?
A: The calculator will verify the values follow the Pythagorean theorem and trigonometric relationships.

Q5: Does this work for non-right triangles?
A: No, this calculator is specifically for right triangles (90° angles).