math question: geometric problems?

Question

what is the right formula and equation for this problem:

the lengths of the sides of a triangle are consecutive even integers. find the length of the longest side if it is 14 units shorter than the perimeter.

what`s the formula? is it P=a+b+c?

Answer 1

lLet,the sides of the triangle be 2x.2x+2 and 2x+4 (because it has been specified that all the sides measures even length,first side has been taken as 2x)
There fore perimeter of the triangle is 2x+2x+2+2x+4=6x+6
KTherefore according to the problem
2x+4+14=6x+6
2x-6x=6-4-14=-12
-4x=-12 or x=3
Therefore the length of the longest side is2X3+4 or 10 units

=>

Answer 2

Let x be the shortest side
Sides of the triangle would be x, x+2, x+4.
Perimeter would be 3x + 6
Longest side = x + 4 = (3x+6) - 14
hence, 2x = 12
x = 6 Sides would be 6, 8 and 10

Answer 3

let the sides of triangle be x , x+2,x+4

longets side is x+4 which is 14 shorter than perimeter

so x+4= perimeter-14

perimeter=x+x+2+x+4=3x+6

x+4=3x+6-14

x+4=3x-8

2x=12

x=6

sides are 6,8,10

Answer 4

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