The value of x is 35 and the value of y is 18.
What is a similar triangle ?
Two triangles will be similar if the corresponding angles are equal and corresponding sides are in the same ratio. Similar triangles may have different individual lengths of sides but their angles must be equal.
How can we find the value of x & y ?
Here, in the given problem, ΔJKL ~ ΔNML , i.e. ΔJKL is similar to ΔNML.
In ΔJKL, KJ=40, LJ=45, KL=x
In ΔNML, NM=16, LN=y, LM=14
Comparing the corresponding sides,
[tex]\frac{KJ}{NM}=\frac{KL}{LM}[/tex]
⇒[tex]\frac{40}{16}=\frac{x}{14}[/tex]
⇒[tex]x=\frac{40*14}{16}[/tex]
⇒[tex]x=35[/tex]
Again, comparing the corresponding sides,
[tex]\frac{KJ}{NM} =\frac{LJ}{LN}[/tex]
⇒[tex]\frac{40}{16}=\frac{45}{y}[/tex]
⇒[tex]y=\frac{45*16}{40}[/tex]
⇒[tex]y=18[/tex]
∴ x=35 and y=18
Learn more about similar triangle here :
https://brainly.com/question/15343836
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