The length of JN of the second triangle is [tex]6\frac{2}{3}[/tex].
Triangle Similarity
What is similarity of triangles?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.
Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Calculation for the length JN:
As the two triangles BTL and PJN are similar because the corresponding two angles are given equal in the question.
Thus, the ratios of the side are equal.
[tex]\frac{BT}{JP} = \frac{LT}{JN}[/tex]
[tex]\frac{6}{8} =\frac{5}{JN}[/tex]
[tex]JN =\frac{20}{3}[/tex]
[tex]JN= 6\frac{2}{3}[/tex]
Therefore, the length JN of the triangle comes out to be [tex]6\frac{2}{3}[/tex].
To know about the use of SSS, SAS, ASA, or AAS congruence, here
https://brainly.com/question/3999145
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