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Ray Of Light [21]
3 years ago
9

A triangle with 7,?, and form a right triangle.

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

9514 1404 393

Answer:

  C  24

  D  25

Step-by-step explanation:

Consider the choices offered:

  5 and 7 will not form a triangle* with any of the other lengths

  7 and 12 will not form a triangle with any of the other (longer) lengths

  7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

  7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

__

<em>Further consideration</em>

  7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

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