Mathhelp346
  • Mathhelp346
PLEASE HELP!! The perimeter of a triangle is 51 centimeters. Side b is 6 centimeters longer than side a. Side c is 5 centimeters shorter than 3 times the length of side a. Find the length of each side. Would the equation be something like: 51=b+6+3a+(5-c)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ganeshie8
  • ganeshie8
you need to form multiple equations, right ?
ganeshie8
  • ganeshie8
The perimeter of a triangle is 51 centimeters a+b+c = 51 -------------(1)
ganeshie8
  • ganeshie8
Side b is 6 centimeters longer than side a. b = a+6 -----------(2)

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Mathhelp346
  • Mathhelp346
b=6+a c=3a-5
ganeshie8
  • ganeshie8
Yes, Side c is 5 centimeters shorter than 3 times the length of side a. c=3a-5 --------------(3)
Mathhelp346
  • Mathhelp346
Ok
ganeshie8
  • ganeshie8
3 equations, and 3 unknowns, we can solve them easily :)
ganeshie8
  • ganeshie8
simply substitute b & c values from equations (2) & (3) in equation (1)
Mathhelp346
  • Mathhelp346
Ok I got a=10 b=16 c=25 Is this correct?
ganeshie8
  • ganeshie8
a+b+c = 51 a+ a+6 + 3a-5 = 51 5a+1 = 51 5a = 50 a = 10
ganeshie8
  • ganeshie8
Yes, they're right ! good work !!
Mathhelp346
  • Mathhelp346
Thank you ^-^
ganeshie8
  • ganeshie8
np :)

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