SOLUTION: A triangle has a perimeter of 84 cm. each of the 2 longer sides of the triangle is 3 times as long as the shortest side. Find the length of each side of the triangle.

Algebra ->  Triangles -> SOLUTION: A triangle has a perimeter of 84 cm. each of the 2 longer sides of the triangle is 3 times as long as the shortest side. Find the length of each side of the triangle.      Log On


   



Question 236627: A triangle has a perimeter of 84 cm. each of the 2 longer sides of the triangle is 3 times as long as the shortest side. Find the length of each side of the triangle.
Answer by stanbon(75887) About Me  (Show Source):
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A triangle has a perimeter of 84 cm. each of the 2 longer sides of the triangle is 3 times as long as the shortest side. Find the length of each side of the triangle.
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Let the shortest side have length "x".
2nd side is 3x
3rd side is 3x
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Equation:
side + side + side = perimeter
x + 3x + 3x = 84
7x = 84
x = 12
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shortest side = x = 12 cm
2nd side = 3x = 3*12 = 36 cm
3rd side = 3x = 36 cm
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Cheers,
Stan H.