Question

The perimeter of this isosceles triangle is 22 cm. If one side is 6 cm, what are the possible lengths of the other two sides?

Explain how you know. Provide at least one reason for your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the length of the two equal sides be x cm each.

Given that the perimeter is the sum of the lengths of all three sides, we have:

6 + x + x = 22

Simplifying, we get:

6 + 2x = 22

2x = 16

x = 8

Therefore, the possible lengths for the other two sides are 8 cm each.

One reason for this is because in an isosceles triangle, the two equal sides must be of the same length. So, if one side is 6 cm, the other two sides must be equal, making them 8 cm each.