68.7k views
1 vote
A triangle with 7,?, and form a right triangle.

A triangle with 7,?, and form a right triangle.-example-1

1 Answer

0 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.

__

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.

_____

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

User AkshayT
by
8.0k points

No related questions found