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Pythagorean theoremTechnique

Technique

Pythagorean theorem

Hypotenuse alone on one side, legs on the other

3 min 3 steps

Two sides of a right triangle always give up the third. It's the most reliable informant I've ever met.

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Calls on

Pythagorean theorem and triplesFactSquare the legs, add, and spot the triples on sight

Used by

Area and volume, forward and in reverseTacticWrite the formula, then solve for whatever's missing
Similar-triangle and segment ratiosTacticMatch the angles first, then use whole sides
Pythagorean theorem and trig ratiosTacticTurn one ratio and one side into the whole triangle