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Geometry > * Q.2 Converse of the Pythagorean theorem NCK
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2
A triangle has sides with lengths of 16 millimeters, 33 millimeters, and 34 millimeters. Is it a
right triangle?
yes
no
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Respuesta :

Answer:

  no

Step-by-step explanation:

The given lengths do not satisfy the Pythagorean theorem:

  34² ≠ 33² +16²

  1156 ≠ 1089 +256

The given sides do not form a right triangle.

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Alternate solution

You can also compute 34² -33² = (34+33)(34-33) = 67·1 = 67 ≠ 16².

Even simpler, a Pythagorean triple will never have zero or two even numbers. The numbers (16, 33, 34) cannot be a Pythagorean triple.

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