The triangles are similar by SSS.
ΔBCD ∼ ΔHFG
Similar triangles
- Corresponding sides in similar triangles are always in the same ratio.
- All corresponding angles are equal.
If the two triangles have all three pairs of corresponding side in the same ratio, it follows a SSS similarity.
Therefore, lets test the similarity.
[tex]\frac{BC}{FH} = \frac{DC}{FG} = \frac{BD}{GH}[/tex]
[tex]\frac{27}{45} = \frac{18}{30} = \frac{13.5}{22.5}[/tex]
All the ratios are the same . The ratios in the simplest form is [tex]\frac{3}{5}[/tex].
The triangles are similar by SSS(side side side)
ΔBCD ∼ ΔHFG
learn more on similar triangles here: https://brainly.com/question/21298333?referrer=searchResults
