The measures of three sides of a triangle can be represented by 2x, 3x and - 5, and 4x + 2. The perimeter of the triangle is 65 inches.

a) give an equation to represent this situation.

b) solve for x

c) What are the three lengths of a triangle?

The sides are 2x, 3x-5 and 4x+2

perimiter is the sum of the sides

a.

2x+3x-5+4x+2=63 is an equation

b.

solve

group like terms

2x+3x+4x-5+2=65

add like terms

9x-3=65

add 3 to both sides

9x=68

divide both sides by 9

x=68/9

2x=2 (68/9) = 136/9 in

3x-5=3 (68/9) - 5 = (68/3) - 5 = (68/3) - (15/3) = 53/3

4x+2=4 (68/9) + 2=272/9+2=272/9+18/2=290/9

the side lengths are 136/9in, 53/3in, and 290/9in