Question

can the sides of a triangle have lengths 2, 2, and 8?

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step2: Check the sums

For side lengths \(a = 2\), \(b = 2\), and \(c = 8\).
Check \(a + b\): \(2+2=4\), and \(4<8\).
Since \(2 + 2\) is not greater than \(8\), the sides cannot form a triangle.

Answer:

no