1. Vertices of the triangle – A, B, C. Perimeter (P) = 60 centimeters. AB: AC = 1: 2.
2. AB: AC = 1: 2 according to the problem statement. Therefore, AC = 2AB.
3. AB = BC, as sides of an isosceles triangle.
4. P = AB + BC + AC = 60 centimeters. We substitute AB instead of BC and 2AB instead of AC in this expression:
AB + AB + 2AB = 60 centimeters.
4AB = 60 centimeters.
AB = 60: 4 = 15 centimeters.
AC = 2AB = 2 x 15 = 30 centimeters.
BC = AB = 15 centimeters.
Answer: AB = BC = 15 centimeters, AC = 30 centimeters.
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