Two sides of a triangle are 4 meters and 12 meters long . Which of the following is not a possible length of the third side?

A: 8 meters
B: 12 meters
C: 9 meters
D: 15 meters

Question

Two sides of a triangle are 4 meters and 12 meters long . Which of the following is not a possible length of the third side?    A: 8 meters  B: 12 meters  C: 9 meters  D: 15 meters

vankhanh · Answer

Answer:   A: 8 meters   Step-by-step explanation:   The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.    Since if we add the side of 4 and 8 it equals to 12, which is not greater than 12, meaning this would be a line if you tried to draw it, leading to the conclusion that A is not possible

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