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.
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "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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