geometry

an isosceles triangle has a perimeter of in. the congruent sides measure (2x+9)cm. The length of the third side is 3 x cm. what is the value of x?

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asked by lisa
  1. What is the perimeter?

  2. an isosceles triangle has a perimeter of 60 in. the congruent sides measure (2x+9)cm. The length of the third side is 3x cm. what is the value of x?

    Again...sorry. = )

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    posted by lisa
  3. How do you think you should solve this problem?

  4. I really have no idea. I am more confused with every question.

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    posted by lisa
  5. Are you sure that the perimeter is 60 inches?

    2(2x + 9) + 3x = 60

    Solve for x.

  6. If the perimeter is 90 inches, forget the solution I posted above.

  7. 19.2 cm?

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    posted by lisa
  8. x = 19.2cm? (the perimeterr is 60 in.)

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    posted by lisa
  9. Substitute 19.2 for x and see if it works.

  10. It does...right? Oh Lord...

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    posted by lisa
  11. I'll bet the perimeter is 60 cm.

    2(2x + 9) + 3x = 60
    2(38.4 + 9) + 3(19.2) = 60
    94.8 + 57.6 does not equal 60

    Work this equation.

    2(2x + 9) + 3x = 60

    You should find that x is a whole number between 5 and 10.

  12. how about x=6...that works.

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    posted by lisa
  13. Yay! You got it!

  14. really..cuz that answer I didn't convert cm to inches. when I do I get x = 18.86 now. Please confirm. my brain hurts.

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    posted by lisa
  15. Are you absolutely sure that the perimeter was given in inches, not centimeters?

    If you are -- then I'm off base because I've figured the perimeter as 60 centimeters.

  16. no, the perimeter is 60 inches. ha..hence the confusion.
    1 in = 2.54 cm
    60 in =152.4cm
    7x=152.4-18
    7x=134.4 / 7
    x=19.2cm

    Whadda ya think?

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    posted by lisa
  17. Ahh! It looks like you're right.

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