The lengths of the sides of an isosceles triangle are c, c, and 16. If c is an integer , what is the smallest possible perimeter of the triangle. (A) 30 (B) 32 (C) 33 (D) 34 (E) 48

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The lengths of the sides of an isosceles triangle are c, c, and 16. If c is an integer , what is the smallest possible perimeter of the triangle. (A) 30 (B) 32 (C) 33 (D) 34 (E) 48

Mathematics
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In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
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Your problem tells you that the two sides you are looking for are congruent. Also, the sides have integer length. That means the sum of the lengths of the two sides must be greater than 16. What is the smallest integer, that when you multiply by 2 you get a number greater than 16?

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34
Yes, the perimeter is 34.

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