Nila can use sets A, B, and D to construct triangles as they satisfy the triangle inequality theorem where the sum of any two sides must be greater than the third side.
Set C and E do not satisfy this rule, as the sum of the two shorter sides in C is less than the longest side, and in E, the two shorter sides are equal but smaller than the longest side.
Nila is constructing triangles for her math project. Choose ALL sets of line segment lengths that Nila can use
A 4 in, 6 in, 6 in
B 5 in, 5 in, 5 in
C 2 in, 2 in, 6 in
D 3 in, 4 in, 7 in
E 1 in, 2 in, 2 in
4 answers
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