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13 May, 16:27

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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Answers (2)
  1. 13 May, 16:34
    0
    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
  2. 13 May, 16:37
    0
    18.4 or 7.2

    Step-by-step explanation:

    The third side can be hypotenuse or base/perpendicular

    If third side is hypotenuse

    H²=B²+P²

    H² = 12²+14²

    H=18.4cm

    If third side is base/perpendicular

    14²=12² + P²

    P = 7.2
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