Answer:
x=35 y=18
Step-by-step explanation:
We have two triangles. These triangles are Similar as stated in the statement. Since they are similar, there side length will be in proportion.
To find x and y we need to set up a proportion of the corresponding sides of the triangles.
Let find the corresponding sides of both triangle.
JK corresponds with NM
KL corresponds with ML
JL corresponds with NL
To find side x we can use this proportion
JK/KL=NM/ML
Plug in the lengths
[tex] \frac{40}{kl} = \frac{16}{14} [/tex]
Cross multiply
[tex]560 = 16kl[/tex]
Divide by 16
[tex]kl = 35[/tex]
so x=35
Now to find y use this proportion
JL/JK=LN/NM
[tex] \frac{45}{40} = \frac{y}{16} [/tex]
Cross multiply
[tex]720 = 40y[/tex]
[tex]y = 18[/tex]
Answer:
X = 35
Y = 18
Step-by-step explanation:
The triangles are similar meaning that they are scaled up and down differently. ( and in this case rotated) Notice the shape of the triangles. The side measuring 40 in the larger triangle correlates to the side measuring 16 in the smaller triangle. We can use this to find the scale difference between the two triangles. 40/16 = 2.5. The larger triangle is scaled up 2.5 times the smaller triangle. X correlates to the side measuring 14. Scale 14 up 2.5 times. 14* 2.5 = 35, so x= 35.
Y correlates to the side measuring 45. Scale 45 down 2.5 times. 45/2.5 = 18. Y = 18