Question 420322
"the perimeter of a triangle is 35cm. The longest side is 3cm less than twice the smallest side. The middle side is 4cm less than the longest side. Find the lenght of the triangle."


x = smallest side
2x - 3 = longest side {longest side is 3 less than twice smallest side}
2x - 7 = middle side {middle side is 4 less than longest side}


x + 2x - 3 + 2x - 7 = 35 {perimeter of triangle is 35}
5x - 10 = 35 {combined like terms}
5x = 45 {added 10 to both sides}
x = 9 {divided both sides by 5}
2x - 3 = 15 {substituted 9, in for x, into 2x - 3}
2x - 7 = 11 {substituted 9, in for x, into 2x - 7}


the three sides are 9cm, 15cm, and 11cm
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