Side of a Right Triangle Calculator

Opposite Side Formula:

\[ \text{opp} = \text{hyp} \times \sin(\theta) \]

Opposite Side (meters):

Definition: This calculator computes the length of the opposite side in a right triangle using the hypotenuse and an angle.

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

The calculator uses the formula:

\[ \text{opp} = \text{hyp} \times \sin(\theta) \]

Where:

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

Details: Right triangle trigonometry is fundamental in construction, navigation, physics, and engineering applications.

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

Q1: What if I know the adjacent side instead of the hypotenuse?
A: Use the formula: opp = adj × tan(θ), where adj is the adjacent side length.

Q2: How precise are the calculations?
A: Results are accurate to 3 decimal places, suitable for most practical applications.

Q3: Can I use this for non-right triangles?
A: No, this calculator is specifically for right triangles. Use the Law of Sines for other triangles.

Q4: What happens if I enter an angle of 90 degrees?
A: The opposite side will equal the hypotenuse length (sin(90°) = 1).

Q5: Why does the angle need to be between 0 and 90 degrees?
A: In a right triangle, the non-right angles must be acute (less than 90°).