Answer 1

Let the shortest side be x.
Then longest side length = 2x and third side length = x + 2
∴ Perimeter = x + 2x + x + 2
= 4x + 2
Given, perimeter > 166
∴ 4x + 2 > 166
∴ 4x > 166 − 2
∴ 4x > 164
∴ x > 41
The minimum length of the shortest side is 41 cm.