Question

Two sides of a triangle are 12cm and 8cm. Complete the inequality to show the possible lengths for the third side. If the third side of the triangle is x then, _

Answer 1

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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