geometry · worked example

Solve right triangle with legs 9 and 12

Method: Pythagorean theorem. Verified step-by-step solution with our free AI math solver.

Problem

$a^2 + b^2 = c^2,\ a=9,\ b=12$

Step-by-step solution

Apply $a^2 + b^2 = c^2$ : $81 + 144 = c^2$ , so $c^2 = 225$ .
Take positive square root: $c = 15$ .
$(9, 12, 15)$ is the $(3, 4, 5)$ triple scaled by $3$ .

Answer

$c = 15$

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