165k views
1 vote
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 problem?Order the side lengths FH, HI, FG, FI, and IG from-example-1
User Beefyhalo
by
7.5k points

1 Answer

3 votes

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

User JavierIEH
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.