The lenght of three sides of a triangle are consecutive even

Solution

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Given length of 3 sides of a triangle are consecutive even integers

Let us assum that length of sides of triangle are 2n-2,2n,2n+2

Now the perimeter of triangle is given by sum of all 3 sides of the triangle

P = 2n -2 + 2n + 2n + 2

=6n.

Hence perimeter is 3 times the mean value of sides in this case.