Which measurements could not represent the side lengths of a right triangle?
A
6 cm, 8 cm, 10 cm
B 12 cm, 35 cm, 37 cm
c4 cm, 6 cm, 10 cm
D 10 cm, 24 cm, 26 cm

  C  4 cm, 6 cm, 10 cm

Step-by-step explanation:

You should recognize that the lengths 6, 8, 10 have the ratio 3 : 4 : 5, the ratios of sides in the smallest Pythagorean triple. Since 6 and 10 are two of these numbers, with 10 being the largest, the only possible third side is 8. There is no such thing as a 4, 6, 10 right triangle.

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You can check whether each triple satisfies the Pythagorean theorem:

  A 6² +8² = 10²   ⇒   36 +64 = 100 . . . true

  B 12² +35² = 37²   ⇒   144 +1225 = 1369 . . . true

  C 4² +6² = 10²   ⇒   16 +36 = 100 . . . FALSE

  D 10² +24² = 26²   ⇒   100 +576 = 676 . . . true

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step-by-step explanation:

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