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In a triangle,middle length side is 3more then shortest side, and the longest side is...

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ashleypereira361 | eNotes Newbie

Posted June 27, 2013 at 1:44 AM via iOS

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In a triangle,middle length side is 3more then shortest side, and the longest side is double middle length side.perimeter is 45 cm. side lengths are?

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ishpiro | Teacher | (Level 2) Associate Educator

Posted June 27, 2013 at 1:51 AM (Answer #1)

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If the length of the shortest side is x, then the length of the middle side is x + 3 and the length of the longest side is 2(x + 3). The perimeter is the sum of the lengths of all sides, so

x + (x+3) + 2(x+3) = 45

Opening the parenthesis and simplifying the left side,

4x + 9 = 45

4x = 36

x = 9

x + 3 = 12

2(x + 3) = 24

The lengths of the sides are, shortest to longest, 9, 12, and 24.

 

 

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