Pythagorean Theorem Calculator to Solve Right Tr...
Solve right triangle problems using the Pythagorean theorem a² + b² = c². Find missing sides, verify right angles, and calculate angles using trigonometry.
The Pythagorean Theorem
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) equals the sum of squares of the other two sides (a and b). One of the oldest and most used theorems in mathematics, it is fundamental to geometry, navigation, engineering, and computer graphics.
📐 Pythagorean Theorem Solver
Free calculator for instant results.
📐 Formula
a² + b² = c²
c = hypotenuse (longest side, opposite right angle). Solve for any side: a = √(c²−b²), b = √(c²−a²), c = √(a²+b²).
📝 Worked Example
a=3, b=4: c = √(9+16) = √25 = 5 (classic 3-4-5 triple)
Find angle: θ = arctan(b/a) = arctan(4/3) ≈ 53.1°
📝 How to Use
❓ FAQ
What are Pythagorean triples?
Integer solutions to a²+b²=c²: (3,4,5), (5,12,13), (8,15,17), (7,24,25). Any multiple is also a triple: (6,8,10), (9,12,15)...
Does the theorem work in 3D?
Yes: d = √(x²+y²+z²) for the 3D diagonal. Applied twice using the Pythagorean theorem to find space diagonals of cuboids.
Veer Kumavat
Founder & AuthorVeer is a 14-year-old student from Nashik, Maharashtra, who built SciFi Calculators to help students worldwide master STEM subjects. He is passionate about making complex science and math problems accessible through intuitive digital tools.