which three lengths cannot be the lengths of the sides of a triangle
A. 7m, 7m, 13m
B. 8m, 9m, 10m
C. 25m, 16m, 11m
D. 17m, 4m, 10m
The three lengths that cannot be the lengths of the sides of a triangle are:
A. 7m, 7m, 13m
This is because the sum of the two shorter sides (7m + 7m = 14m) is less than the longest side (13m), violating the triangle inequality theorem.
D. 17m, 4m, 10m
This is because the sum of the two shorter sides (4m + 10m = 14m) is less than the longest side (17m), violating the triangle inequality theorem.
Therefore, the three lengths that cannot be the lengths of the sides of a triangle are A, 7m, 7m, 13m, and D, 17m, 4m, 10m.