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.
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.