The possible lengths of third side of the triangle are: 4 < c < 20.
Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional shape. A polygon also includes a triangle. For any triangle, the sum of any two sides must be greater than the third side.
Let's say triangle ABC, where a = 12 and b = 8.
a + b > c equation (1)
a + c > b equation (2)
b + c > a equation (3)
From equation (1);
12 + 8 > c
c < 20
From equation (2):
12 + c > 8
c > 4
From equation (3):
8 + c > 12
c > 4
Therefore, the possible lengths of side c of triangle are: 4 < c < 20.
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