A right triangle has side lengths 12 centimeters and 14 centimeters. Name two possible side lengths for the third side, and explain how you solved for each.
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If 12 and 14 are both side lengths then we solve for the hypotenuse:

hypotenuse^2 = 12^2 + 14^2

hypotenuse^2 = 144 + 196

hypotenuse^2 = 340

hypotenuse = sq root (340) = 18.4390889146

If hypotenuse = 14, then third side equals:

(3rd side)^2 = 14^2 - 12^2

(3rd side)^2 = 196 -144

(3rd side)^2 = 52

3rd side = sq root (52) = 7.2111025509

Step-by-step explanation:

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