Answer:
The length of XY is 35.
Step-by-step explanation:
Since triangle FGH is similar to triangle XYZ, that means their sides are proportional to each other. FH corresponds to XZ, GH corresponds to YZ, and FG corresponds to XY. When dividing the corresponding length of triangle XYZ to the corresponding sides of triangle FGH, both [tex]\frac{10}{4}[/tex] and [tex]\frac{40}{16}[/tex] equals 2.5, so the side XY divided by 14 will also equal 2.5. To find the length of XY, multiply 14 by 2.5 and you'll get that the length of side XY is equal to 35.
