Respuesta :
Answer:
Length of XY is 18 units.
Step-by-step explanation:
Given,
[tex]\triangle ABC\sim \triangle AXY[/tex]
By the ratio of 4 : 3
That is, the ratio of corresponding sides of triangles ABC and AXY is 4 : 3,
[tex]\implies \frac{AB}{AX}=\frac{BC}{XY}=\frac{AC}{AY}=\frac{4}{3}[/tex]
We have, BC = 24 units,
[tex]\frac{24}{XY}=\frac{4}{3}[/tex]
[tex]72=4XY[/tex]
[tex]\implies XY=\frac{72}{4}=18[/tex]
Hence, the length of XY is 18 units.
