EvaletJ588862 EvaletJ588862
  • 29-10-2022
  • Mathematics
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Can you help me solve this problem?Order the side lengths FH, HI, FG, FI, and IG from least to greatest. (Figure is not drawn to scale)

Can you help me solve this problemOrder the side lengths FH HI FG FI and IG from least to greatest Figure is not drawn to scale class=

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MaryoriT217975 MaryoriT217975
  • 29-10-2022

Given data:

The given figure of the triangle.

In triangle FHI.

[tex]FI>HI>FH[/tex]

The angle FIH is,

[tex]\begin{gathered} \angle FIH=82^{\circ}+51^{\circ} \\ =133^{\circ} \end{gathered}[/tex]

In triangle FGI.

[tex]FG>GI>FI[/tex]

Clubing both inequalities.

[tex]FG>GI>FI>HI>FH[/tex]

Thus, the correct order of the inequality is FH

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