dg83679 dg83679
  • 01-09-2020
  • Mathematics
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Can 6,12, and 18 make a triangle?

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chikafujiwara
chikafujiwara chikafujiwara
  • 01-09-2020

By definition, 3 side lengths are a triangle if any 2 side lengths add up to be greater than the third.

We can already see that the side lengths 6 and 12 will add up to a value of 18, which is equal to the last side length, meaning that the three values are not a triangle.

[tex]a=6[/tex]

[tex]b=12[/tex]

[tex]c=18[/tex]

[tex]a+b>c[/tex]

[tex]b+c>a[/tex]

[tex]c+a>b[/tex]

[tex]6+12>18[/tex] (Since this is not true, this is not a triangle)

Hope this helps.

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