Answer:
UY = 90
GH = 4
Step-by-step explanation:
Property of similarity of two similar figures:
"If two figures are similar, their corresponding sides are proportional"
Since, FGHIJ ~ YUVWX
[tex]\frac{FG}{UY}= \frac{GH}{UV}= \frac{IJ}{WX}[/tex]
[tex]\frac{10}{UY}= \frac{GH}{36}= \frac{6}{54}[/tex]
[tex]\frac{10}{UY}= \frac{6}{54}[/tex]
UY = [tex]\frac{54\times 10}{6}[/tex]
UY = 90
[tex]\frac{GH}{36}= \frac{6}{54}[/tex]
GH = [tex]\frac{6\times 36}{54}[/tex]
= 4
GH = 4
