Question

Which set of measurements can represent the lengths of a triangle's sides?

Classify each set of lengths as a Triangle or Not a triangle.
Lengths of segments
Triangle
Not a triangle
10 m, 21 m, 29 m
O
10 m, 29 m, 40 m
o
O
о
о
10 m, 14 m, 29 m
O
о
10 m, 29 m, 37 m
o

Answer 1

triangle, not a triangle, not a triangle, triangle

Determining if three side lengths can make a triangle is easier than it looks. All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.[