Question

a triangle has sides with lengths in centimeters that are consecutive even integers. find the lengths of the perimeter is 186cm

Answer 1

60 cm, 62 cm, 64 cm

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 )

`(3)/(3)` n =
`(180)/(3)`

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