deangregorio16 deangregorio16
  • 27-04-2017
  • Mathematics
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Which set of lengths are not the side lengths of a right triangle? (A-28, 45, 53) (B-13, 84, 85) (C-36, 77, 85) (D-16, 61, 65) [Explain]

Respuesta :

mathnstuff
mathnstuff mathnstuff
  • 27-04-2017
Side lengths 16, 61, and 65 are not part of a right triangle.

A right triangle's sides should follow this formula, C being the largest number:

[tex]a^{2} + b ^{2} = c^{2} [/tex]

[tex]16^{2} = 256[/tex]

[tex]61^{2} = 3721[/tex]

[tex]65^{2} = 4225[/tex]

256 + 3721 = 3977

[tex]3977 \neq 4225[/tex]
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