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