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The two triangles are said to be similar if they satisfy these conditions(SAS):
1. The two sides of a triangle are in the same proportion as the two sides of another triangle.
2. The angle inscribed by the two sides in both the triangle is equal.
Given
Triangle HLJ has the following properties:
Sides: 22, 19
Inscribed angle = 66 degrees
Triangle KLM has the following properties:
Sides: 66, 57
Inscribed angle = 66 degrees
Solution
We can see that:
[tex]\begin{gathered} \frac{IJ}{LM}\text{ = }\frac{IH}{LK} \\ \frac{22}{66}\text{ = }\frac{19}{57} \\ \text{Inscribed angle = 66}^0\text{ for both triangles} \end{gathered}[/tex]Hence:
[tex]\Delta\text{ HIJ }\approx\text{ }\Delta KLM[/tex]Answer: we can conclude that the triangles are similar
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Rewritten by : Barada
