The two triangles [tex]\triangle HGF[/tex] and [tex]\triangle ABC[/tex] given in figure are not similar.
What is similarity in triangles?
Two triangles are said to be similar when their three pairs of corresponding sides are equal. And also if two triangles have all congruent angles, all proportional sides then triangles are similar.
We have,
[tex]\triangle HGF[/tex] and [tex]\triangle ABC[/tex] neither they have congruent angles nor they have equal sides and also they do not have all proportional sides.
So, from the above given statement of similarity in triangles, we can conclude that both the given triangles [tex]\triangle HGF[/tex] and [tex]\triangle ABC[/tex] are not similar.
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