About Right Triangle Calculations

Right triangles are fundamental in trigonometry and geometry. They allow calculation of unknown measurements using the Pythagorean theorem (a² + b² = c²) and trigonometric ratios (sin, cos, tan).

Common Uses

Finding heights of buildings using angle measurements
Calculating distances in navigation
Determining slopes in construction
Solving physics problems involving vector components

Example Calculation

Given a right triangle with side a = 3 and side b = 4:

Hypotenuse c = √(3² + 4²) = 5
Area = (3 × 4)/2 = 6
Angle θ = arctan(4/3) ≈ 53.13°

Reference Table

Known Values	Calculation Method
2 sides	Pythagorean theorem
1 side + 1 angle	Trigonometric functions

Frequently Asked Questions

What units should I use?

Use consistent units (e.g., all meters or all inches). Angles are in degrees by default.

How precise are the results?

Results are accurate to 4 decimal places. Floating-point precision limitations may apply.

Can I calculate area with angles?

Yes, if you know one side and one angle, use trigonometric functions to find other sides first.

Right Triangle Calculator

Results

Triangle Visualization

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Right Triangle Calculator - Trig and Area in Seconds

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