[Math] Perimeter of a triangle

geometrytriangles

A question states:

The length of each side of a certain triangle is an even number.If no two
sides have the same length what is the smallest perimeter the triangle
could have ?

According to the author the answer is 18 but i think the answer is 12. (Scalene triangle with 2+4+6 as sides). Any suggestions please?

Best Answer

The sum of the lengths of any two sides of a triangle must be greater than the third side.