The largest possible whole-number length for the third side of the triangle is 2 units.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.  The sum of angles in a triangle is 180 degrees.

The triangle inequality theorem can be used to find the largest possible side whole number length for the third side of the triangle with side length 1 and 2 units.

The triangle inequality theorem describes the relationship between the three sides of a triangle

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

If the sides of the triangle are a, b and c . It follows the rule below:

b + c > a

a + c > b

a + b > c

Let the unknown third side be x.

Hence,

1 + 2 > x

x + 2 > 1

x + 1 > 2

Therefore, the largest is 2 units.

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