Home/Math/Pythagorean
Pythagorean Theorem
Hypotenuse (c)
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a² + b² = c²
Home/Math/Pythagorean
The Pythagorean Theorem is a fundamental principle in geometry that relates the three sides of a right-angled triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
a² + b² = c²
Always double-check that you are working with a right-angled triangle (one angle is exactly 90°). This theorem only works for right triangles. For other triangles, you'll need the Law of Cosines.
A classic error is calculating a² + b² and
thinking that's the answer. Remember, that equals c², not c! You must take
the square root of the sum to find the actual length of the hypotenuse.
Reviewed by Dr. Sarah Chen, Ph.D.
Professor of Mathematics
Dr. Chen ensures our mathematical tools are accurate and easy to understand.
The Pythagorean theorem states: a² + b² = c², where c is the hypotenuse of a right triangle.
Use c = √(a² + b²). Square both legs, add them, then take the square root.
No, only right triangles (triangles with a 90° angle).
Whole number sets that satisfy a²+b²=c², like (3,4,5), (5,12,13), (8,15,17).