In an isosceles triangle, two sides are of equal length. Given that one side is 6 cm and the perimeter is 22 cm, the combined length of the two equal sides (let's call them \(x\)) is \(22 - 6 = 16\) cm. Thus, each of those two equal sides must be \(x = \frac{16}{2} = 8\) cm. Therefore, the possible lengths of the other two sides are both 8 cm. This is confirmed by the triangle inequality theorem, which states the sum of the lengths of any two sides must exceed the length of the third side; in this case, \(8 + 8 > 6\) holds true.
Question
Image shows an isosceles triangle.
in 1-2 sentences tell me 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.
(1 point)
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