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question 13 of 50
if the sum of two side lengths of a triangle is more than the third side of a triangle, then it is a triangle .
true
false
The triangle inequality theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. So if the sum of two side lengths of a triangle is more than the third side (and this must hold for all three combinations of sides, but the question here is about the general statement that if this condition is met for a set of three lengths, they form a triangle), this is the fundamental condition for three lengths to form a triangle. So the statement is True.
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A. True