Solution:
We have to prove that ,
△ABC ~ △Z Y X Using SAS.
It is given that , ∠X ≅ ∠C .
You must keep in mind when two triangles are similar by S A S
1. The included side between the angle should be Proportional.
[tex]\frac{BC}{XY}=\frac{AC}{XZ}[/tex]
2. We have to prove that ,
△ABC ~ △Z Y X Using SAS.
It is given that , ∠B ≅ ∠Y .
The included side between the given angle should be Proportional.
[tex]\frac{BA}{ZY}=\frac{BC}{XY}[/tex]
3. We have to prove that ,
△ABC ~ △Z Y X Using SSS.
The three sides of two triangles must be Proportional.
[tex]\frac{BC}{XY}=\frac{AB}{ZY}=\frac{AC}{XZ}[/tex]
