1. What is a Right Angled Triangle Side Calculator?

Definition: This calculator computes the length of one side (leg) of a right-angled triangle using 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 trigonometric formula:

Where:

• \( \text{leg} \) — Length of the side opposite to angle θ (meters)
• \( \text{hyp} \) — Length of the hypotenuse (meters)
• \( \theta \) — Angle between hypotenuse and adjacent side (degrees)

Explanation: The sine function relates the angle to the ratio between the opposite side and hypotenuse in a right triangle.

3. Importance of Triangle Side Calculation

Details: Accurate side length calculations are essential in construction, navigation, engineering, and various scientific applications involving right triangles.

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 is a right-angled triangle?
A: A triangle with one 90-degree angle, where the side opposite the right angle is called the hypotenuse.

Q2: Why use sine function?
A: Sine relates the angle to the ratio of opposite side/hypotenuse in right triangles (SOH in SOHCAHTOA).

Q3: What angle range is valid?
A: Must be between 0 and 90 degrees (exclusive) for a proper right triangle.

Q4: How precise are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q5: Can I calculate the other side?
A: Yes, the adjacent side can be found using cosine: adj = hyp × cos(θ).