1. What is the Adjacent Side of a Triangle?

Definition: In a right-angled triangle, the adjacent side is the side next to the reference angle that is not the hypotenuse.

Purpose: Calculating the adjacent side is essential in trigonometry, construction, navigation, and various engineering applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

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

3. Importance of Adjacent Side Calculation

Details: Accurate calculation of triangle sides is crucial for architectural design, construction projects, and solving real-world geometry problems.

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.

5. Frequently Asked Questions (FAQ)

Q1: What is the hypotenuse?
A: The hypotenuse is the longest side of a right triangle, opposite the right angle.

Q2: Can the angle be 90 degrees?
A: No, the angle must be less than 90 degrees as at 90° the adjacent side would be zero.

Q3: What units does this calculator use?
A: The calculator uses meters for length units, but you can use any consistent unit as long as you're consistent.

Q4: How accurate is the result?
A: The calculator provides results with 3 decimal places, suitable for most practical applications.

Q5: What if I know the opposite side instead?
A: Use the formula \( adj = opp / \tan(\theta) \) or our "Find Adjacent from Opposite" calculator.