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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?

Respuesta :


[tex]65 = 2x + (3x - 5) + (4x + 2) [/tex]
[tex]65 = 9x - 3[/tex]
[tex]68 = 9x[/tex]
[tex] \frac{68}{9} = x[/tex]

[tex]2x = 2( \frac{68}{9} )[/tex]
[tex] 2x = \frac{136}{9} [/tex]

[tex]3x - 5 = 3( \frac{68}{9} ) - 5[/tex]
[tex]3x - 5 = \frac{204}{9} - 5[/tex]
[tex]3x - 5 = \frac{159}{9} [/tex]
[tex]3x - 5 = \frac{53}{3} [/tex]


[tex]4x + 2 = 4( \frac{68}{9} ) + 2[/tex]
[tex]4x + 2 = \frac{272}{9} + 2[/tex]
[tex]4x + 2 = \frac{290}{9} [/tex]

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