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Can the sides of a triangle have lengths 2, 7, and 7?
yes
no

User Chizou
by
7.5k points

1 Answer

4 votes

Answer:

No

Explanation:

The sides of a triangle with lengths 2, 7, and 7 cannot form a valid triangle. According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the sum of the lengths of the two sides with lengths 7 and 7 is 14. However, this is not greater than the length of the remaining side with length 2. Therefore, a triangle cannot be formed with these side lengths.

User SylvainD
by
7.5k points