Question

ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY?

Answer 1

Answer:

18

Step-by-step explanation:

24/4 = 6 so....

4*6 is 24 and 3*6 is 18

Answer 2

Answer:

Length of XY is 18 units.

Step-by-step explanation:

Given,

$\triangle ABC\sim \triangle AXY$

By the ratio of 4 : 3

That is, the ratio of corresponding sides of triangles ABC and AXY is 4 : 3,

$\implies \frac{AB}{AX}=\frac{BC}{XY}=\frac{AC}{AY}=\frac{4}{3}$

We have, BC = 24 units,

$\frac{24}{XY}=\frac{4}{3}$

$72=4XY$

$\implies XY=\frac{72}{4}=18$

Hence, the length of XY is 18 units.