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

A triangle with 7,?, and form a right triangle.-example-1
User Anthony Williams
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1 Answer

19 votes
19 votes

9514 1404 393

Answer:

C 24

D 25

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.

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Further consideration

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

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

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

User Thmsnhl
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3.1k points