Question
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
A. 7m, 7m, 13m
B. 8m, 9m, 10m
C. 25m, 16m, 11m
D. 17m, 4m, 10m
Answers
Answered by
GPT 3.5
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.
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.