Right Triangle Calculator
Calculate missing sides, angles, area, and perimeter of right triangles using the Pythagorean theorem.
Triangle Parameters
Calculate Sides
Calculate Angles
Calculate Area & Perimeter
Calculation Results
Results will appear here
Triangle Visualization
Area
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Perimeter
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Right Triangle Formulas
Pythagorean Theorem
a² + b² = c²
Where:
a = side A (adjacent)
b = side B (opposite)
c = hypotenuse
Trigonometric Ratios
sin(θ) = Opposite / Hypotenuse
cos(θ) = Adjacent / Hypotenuse
tan(θ) = Opposite / Adjacent
cos(θ) = Adjacent / Hypotenuse
tan(θ) = Opposite / Adjacent
Use these to calculate angles from side lengths
Area Formula
Area = (a × b) / 2
The area of a right triangle is half the product of its two legs.
Perimeter Formula
Perimeter = a + b + c
The perimeter is the sum of all three sides of the triangle.
Practical Applications
Construction
Ensuring corners are square in buildings and structures.
Navigation
Calculating distances and angles in navigation and surveying.
Engineering
Designing ramps, roofs, and other structural elements.