The inequalities that represents the third side of the triangle is x ≥ 4 or x ≤ 20
How to find the third side of a triangle?
The triangle inequality theorem states that that the sum of any two sides of a triangle is greater than or equal to the third side.
Therefore, the two sides of the triangle are 12 cm and 8 cm.
A triangle with sides a, b and x follows the principle below;
a + b ≥ x.
Therefore,
let
x = third sides
12 + 8 ≥ x
20 ≥ x
x + 8 ≥ 12
x ≥ 4
x + 12 ≥ 8
Therefore, the third third should be greater than or equals to 4 or less than or equals to 20
x ≥ 4 or x ≤ 20
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