22.3k views
0 votes
Which of the following are possible side lengths for a triangle?A. 5,7,9 B. 1,8,9 C. 5, 5, 12

Which of the following are possible side lengths for a triangle?A. 5,7,9 B. 1,8,9 C-example-1
User Lennyy
by
8.4k points

1 Answer

7 votes

Answer:

A. 5, 7, 9

Explanation:

in a regular triangle the sum of any 2 sides must always be greater than the third side.

A.

5+7 = 12 > 9

5+9 = 14 > 7

9+7 = 16 > 5

yes, this can be a triangle.

B.

1+8 = 9 = 9

that violates the condition. both sides together are equally long as the third side, so the triangle would be only a flat line with the top vertex being squeezed flat onto the baseline.

no triangle.

C.

5+5 = 10 < 12

that violates the condition. the sides cannot even connect all around.

no triangle.

User Henry Henrinson
by
8.5k points