Question

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)

Answer 1

Given data:

The given figure of the triangle.

In triangle FHI.

`FI>HI>FH`

The angle FIH is,

`\begin{gathered} \angle FIH=82^(\circ)+51^(\circ) \\ =133^(\circ) \end{gathered}`

In triangle FGI.

`FG>GI>FI`

Clubing both inequalities.

`FG>GI>FI>HI>FH`

Thus, the correct order of the inequality is FH