the lengths of the sides of a triangle are consecutive integers. Half of the perimeter is 14 more than the length of the longest side. Find the perimeter. I have too many unknowns, I think

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X+(x+1)+(x+2)=perimeter
3x+3=perimeter

(perimeter/2)=14+(x+2)
(3x+3)/2=x+16
3x+3=2x+32
X=29

(3*29)+3=perimeter
87+3=90=perimeter