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

Definition: This calculator computes the length of the adjacent side in a right-angled triangle given the hypotenuse and an angle.

Purpose: It helps students, engineers, and designers quickly determine side lengths in right-angled triangles for various applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Adjacent side length (meters)
• \( c \) — Hypotenuse length (meters)
• \( \theta \) — Angle between hypotenuse and adjacent side (degrees)

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

3. Importance of Right Angle Triangle Calculations

Details: These calculations are fundamental in trigonometry, construction, navigation, and many engineering applications.

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 if I know the opposite side instead?
A: Use the formula \( a = c \times \sin(\theta) \) for the opposite side length.

Q2: How precise should my angle measurement be?
A: For most practical purposes, 1-2 decimal places is sufficient.

Q3: Can I use this for non-right-angled triangles?
A: No, this calculator is specifically for right-angled triangles.

Q4: What units does this calculator use?
A: The calculator uses meters for length and degrees for angles.

Q5: How is this different from Pythagorean theorem?
A: The Pythagorean theorem relates all three sides, while this formula relates two sides and an angle.