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Sgstudent

  • one year ago

The perimeter of the triangle with sides 5cm , 6cm and x cm is less than 18cm. Given that the sum of any two of the sides is always greater than the third side, find the range of values of x.

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  1. syhna
    • one year ago
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    5 + 6 + x < 18 11 + x < 18 x<7 im not quite sure though :)

  2. Sgstudent
    • one year ago
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    That's what i did and it's WRONG.

  3. syhna
    • one year ago
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    hmmm why?

  4. Sgstudent
    • one year ago
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    answer is 1<x<7

  5. syhna
    • one year ago
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    how'd you get it? i dont seem to understand something about it

  6. Sgstudent
    • one year ago
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    Because you and i made the same mistake, we only read the first part of the question and "ignore" the second sentence.

  7. itsmylife
    • one year ago
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    5+6+x<18 11+x<18 x<7

  8. itsmylife
    • one year ago
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    so it must be 1<x<7

  9. itsmylife
    • one year ago
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    @Sgstudent keep rocking

  10. Sgstudent
    • one year ago
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    yea it must be 1<x<7

  11. Sgstudent
    • one year ago
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    how did we get that?

  12. syhna
    • one year ago
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    so 5 +6 > x ??

  13. itsmylife
    • one year ago
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    i showed ya up there

  14. Sgstudent
    • one year ago
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    why is it 1<x<7 and not x<7 ??

  15. itsmylife
    • one year ago
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    sum of three sides is less than 18 5+6+x<18 subtract 11 on both sides x<7 now it cant be 0 or a negative integer

  16. syhna
    • one year ago
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    waah i dont get it T.T where'd you get the 1?

  17. Sgstudent
    • one year ago
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    same here

  18. Sgstudent
    • one year ago
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    where would you get the 1 sir?

  19. itsmylife
    • one year ago
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    well look if it will be less than 1 then sum of two sides wont be greater than the third side ;)

  20. Sgstudent
    • one year ago
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    that's like trail and error.

  21. Sgstudent
    • one year ago
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    nvm if you cant explain how did you got the 1.

  22. Sgstudent
    • one year ago
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    I get it already :)

  23. syhna
    • one year ago
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    i think i understood it already see if the othe side is 1 then 5 + 1 would be equal to 6 right? since we need the third to be greater and not equal to the sum then we use 2 and 2 is greater than 1 so if we would put it in a situation where x = 2 then we'll get 5 + 6 + 2 < 18 13 < 18 5+6 > 2 11 >2 5+2 > 6 7>6 6 + 2 > 5 8 > 5

  24. Sgstudent
    • one year ago
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    great :)

  25. Sgstudent
    • one year ago
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    We must fulfill the second sentence criteria to find the range of values of x hence, the range would be 1<x<7

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