Question

the measures of three sides of a triangle can be represented by 2x, 3x-5, and 4x+2. The perimeter of the triangle is 65 inches. Give an equation for the situation and solve for x. What are the three lengths of the triangle?

Answer 1

`65 = 2x + (3x - 5) + (4x + 2)`

`65 = 9x - 3`

`68 = 9x`

`(68)/(9) = x`


`2x = 2( (68)/(9) )`

`2x = (136)/(9)`


`3x - 5 = 3( (68)/(9) ) - 5`

`3x - 5 = (204)/(9) - 5`

`3x - 5 = (159)/(9)`

`3x - 5 = (53)/(3)`



`4x + 2 = 4( (68)/(9) ) + 2`

`4x + 2 = (272)/(9) + 2`

`4x + 2 = (290)/(9)`