anonymous
  • anonymous
One side of a triangle is three times the shortest side. The third side is 6 inches more than the shortest side. The perimeter of the triangle is 86 inches. Find the lengths of all three sides.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@AlexandervonHumboldt2
Vocaloid
  • Vocaloid
first step is to define a variable let's let x = the shortest side with me so far?
anonymous
  • anonymous
yes @Vocaloid

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Vocaloid
  • Vocaloid
good. it also says that "one side is 3 times the shortest side" so we can write this as 3x with me so far?
anonymous
  • anonymous
yes
Vocaloid
  • Vocaloid
ok, it also says that The third side is 6 inches more than the shortest side. so third side = x + 6 with me so far?
anonymous
  • anonymous
yes
princeharryyy
  • princeharryyy
let shortest side = a other side = 3a third side = a +6 perimeter => a +3a + a +6 => 5a+6 = 86 5a = 80 a= 16(shortest) other 16*3 = 48 third one = 16+6 = 22
princeharryyy
  • princeharryyy
but, I wonder if the triangle exists. hehehe :D :p
anonymous
  • anonymous
is this right though? @princeharryyy
princeharryyy
  • princeharryyy
yeah! it is. but, such a triangle is not possible as the axioms say.

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