nika7760 nika7760
  • 02-05-2019
  • Mathematics
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How to do this comebody help me

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LammettHash
LammettHash LammettHash
  • 02-05-2019

[tex]\Delta FGH\sim\Delta LMN[/tex], so corresponding sides occur in some ratio with one another. In particular, the order the vertices tells you that

[tex]\dfrac{FG}{LM}=\dfrac{GH}{MN}=\dfrac{HF}{NL}[/tex]

[tex]\implies\dfrac{FG}{14}=\dfrac{54}{12}[/tex]

[tex]\implies FG=\dfrac{14\cdot54}{12}=63[/tex]

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