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The perimeter of the following triangle is 57 cm.  what are the lengths of the sides of the triangle?

 

the sides of the triangle in the picture have on the left  side 3x-6 the right  2(x+6) and the bottom 2x+9

 Dec 18, 2016
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All three sides have to total 57 cm

Side 1    3x-6

         2   2x+12

         3    2x+9

Add them together, equate to 57 and solve for 'x'

 

3x-6  + 2x+12  +  2x+9 = 57     Add 'like' terms

7x +15 = 57       subtract 15 from both sides

7x = 42

x = 6

Side 1 = 3(6)-6 =12 cm

Side 2 = 2(6) + 12 = 24 cm

Side 3 = 2(6)+9 = 21 cm

 Dec 18, 2016
edited by ElectricPavlov  Dec 18, 2016

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