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Answer :
Answer:
60 cm, 62 cm, 64 cm
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle.
Consecutive even integers have a difference of 2 between them.
let the sides be n , n + 2, n + 4
given perimeter = 186 cm , then sum the sides and solve for n
n + n + 2 + n + 4 = 186 ( simplify left side by collecting like terms )
3n + 6 = 186 ( subtract 6 from both sides )
3n + 6 - 6 = 186 - 6 , that is
3n = 180 ( divide both sides by 3 )
[tex]\frac{3}{3}[/tex] n = [tex]\frac{180}{3}[/tex]
n = 60
n + 2 = 60 + 2 = 62
n + 4 = 60 + 4 = 64
the lengths of the 3 sides are 60 cm , 62 cm , 64 cm
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