Which three lengths could be the sides of a triangle? (1 point) Responses
8 in, 3 in, 2 in
6 in, 8 in, 13in
10 in, 8 in, 2in
9in, 3in, 18 in
The correct answer is:
2) 6 in, 8 in, 13 in
only one answer is correct, please pick one
To determine if three lengths could be the sides of a triangle, we need to check if the sum of the lengths of any two sides is greater than the length of the remaining side.
Let's examine each set of lengths:
1) 8 in, 3 in, 2 in
The sum of the lengths of the two smallest sides (2 in and 3 in) is 5 in which is greater than the length of the longest side (8 in). Therefore, this set of lengths could form a triangle.
2) 6 in, 8 in, 13 in
The sum of the lengths of the two smallest sides (6 in and 8 in) is 14 in which is greater than the length of the longest side (13 in). Therefore, this set of lengths could form a triangle.
3) 10 in, 8 in, 2 in
The sum of the lengths of the two smallest sides (2 in and 8 in) is 10 in which is equal to the length of the longest side (10 in). Therefore, this set of lengths could not form a triangle.
4) 9 in, 3 in, 18 in
The sum of the lengths of the two smallest sides (3 in and 9 in) is 12 in which is less than the length of the longest side (18 in). Therefore, this set of lengths could not form a triangle.
So, the three lengths that could be the sides of a triangle are:
- 8 in, 3 in, 2 in
- 6 in, 8 in, 13 in
I hope this explanation helps you understand how to determine if a set of lengths can form a triangle!
The three lengths that could be the sides of a triangle are:
1) 8 in, 3 in, 2 in
2) 6 in, 8 in, 13 in
3) 9 in, 3 in, 18 in