Pythagorean theorem

a2+b2=c2a^2+b^2=c^2

Result unit: length units

What it describes

In a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.

Symbols

a,ba, b
legs
cc
hypotenuse

Where it comes from

In a right triangle, the square of the hypotenuse equals the sum of the squares of the two legs. It is the basis for computing distances and diagonals.

When to use it

Right triangles; diagonals, distances, heights.

Example

The legs have lengths 3 and 4. Find the hypotenuse.
Substitutiona=3a=3, b=4b=4.
Resultc=9+16=25=5c=\sqrt{9+16}=\sqrt{25}=5.

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