Pythagorean Theorem
Find the missing side of a right triangle using a² + b² = c².
Hypotenuse c
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c = √(a² + b²); field c is unused.
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Formula
a² + b² = c²; modes: find c from a,b; find a from b,c (c>b); find b from a,c (c>a)
Example: a = 3, b = 4 → c = 5; b = 4, c = 5 → a = 3
Methodology
Hypotenuse c = √(a² + b²). Leg a = √(c² − b²).
Example
Legs 3 and 4 → hypotenuse c = √(9+16) = 5.