No because in order to form a triangle the sum of its 2 smaller sides must be greater than its longest side.
To determine if segments of lengths 8, 7, and 15 can form a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. Here, 8 + 7 = 15, which is not greater than 15. Therefore, segments of lengths 8, 7, and 15 cannot form a triangle.
To determine if segments with lengths 9, 4, and 11 can form a triangle, we can use the triangle inequality theorem. This states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 9 + 4 = 13, which is greater than 11; 9 + 11 = 20, which is greater than 4; and 4 + 11 = 15, which is greater than 9. Since all conditions are satisfied, the segments can indeed form a triangle.
yes
To create a row of 6 triangles, each triangle can be formed using 3 line segments. However, since the triangles share sides, the total number of segments needed will be fewer than 18 (6 triangles × 3 segments each). Specifically, for 6 triangles arranged in a row, you need 10 segments: 3 for the first triangle, 1 additional for each of the 5 shared sides between the triangles, and 3 for the last triangle. Thus, the total number of line segments needed is 15.
No.
Yes.
Line segments of lengths 94 and 15 could form a triangle provided the third side was in the range (79, 109).
To determine if segments of lengths 8, 7, and 15 can form a triangle, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. Here, 8 + 7 = 15, which is not greater than 15. Therefore, segments of lengths 8, 7, and 15 cannot form a triangle.
Those segments can form a triangle because the two smallest sides, 7 and 8, add together to make 15, which is greater than the longest side, 12.
No. The sum of any two sides of a triangle MUST be greater than the third side. 9 + 4 is 13 which is not greater than 15.
No
To determine if segments with lengths 9, 4, and 11 can form a triangle, we can use the triangle inequality theorem. This states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 9 + 4 = 13, which is greater than 11; 9 + 11 = 20, which is greater than 4; and 4 + 11 = 15, which is greater than 9. Since all conditions are satisfied, the segments can indeed form a triangle.
yes
Yes
No.
No. Any two sides of a triangle MUST add up to more than the third. 8+7 = 15, not > 15.
Yes they do. We find this by applying the pythagorean theorum. Since 9^2 + 12^2 = 15^2, they form a right triangle.