SOLUTION: the second side of a triangle is 3 times the first side. the third side is 2 and a half times the first side. the perimeter is 60 feet, find the length of each side.

Algebra ->  Equations -> SOLUTION: the second side of a triangle is 3 times the first side. the third side is 2 and a half times the first side. the perimeter is 60 feet, find the length of each side.      Log On


   



Question 1013829: the second side of a triangle is 3 times the first side. the third side is 2 and a half times the first side. the perimeter is 60 feet, find the length of each side.
Found 2 solutions by ikleyn, macston:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
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the second side of a triangle is 3 times the first side. the third side is 2 and a half times the first side.
the perimeter is 60 feet, find the length of each side.
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Let a be the length of the 1-st side,
    b be that of the 2-nd side,
    c be that of the third side.

From the condition, b = 3a, c = 2.5a, and you have an equation

a + b + c = p,   or

a + 3a + 2.5a = 60,   or

6.5a = 60.

Hence, a = 60%2F6.5 9.231 ft.


Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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F=first side; S=second side=3F; T=third side=2.5F
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F+S+T=60ft
F+3F+2.5F=60ft
6.5F=60ft
F=9.23ft
S=3F=3(9.23ft)=27.69ft.
T=2.5F=2.5(9.23)=23.08ft
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ANSWER First side=9.23ft; Second side=27.69ft; Third side=23.08ft