# algebra

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a triangle have lengths that are consecutive whole numbers and its perimeter is greater than 2008 cm.If the least possible perimeter of the triangle is x cm, find the value of x.

• algebra -

let the sides be x-1, x, and x+1

x-1+x+x+1 > 2008
3x > 2008
x > 669.333
but x must be a whole number

if x = 669, the 3 sides would be 668 669 and 670 for a perimeter of 2007 , no good
if x = 670, the 3 sides would be 669 670 and 671 for a perimeter of 2010 , ok

so x = 670

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