Question

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

Answer 1

18

Explanation:

24/4 = 6 so....

4*6 is 24 and 3*6 is 18

Answer 2

Length of XY is 18 units.

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 (AB)/(AX)=(BC)/(XY)=(AC)/(AY)=(4)/(3)`

We have, BC = 24 units,

`(24)/(XY)=(4)/(3)`

`72=4XY`

`\implies XY=(72)/(4)=18`

Hence, the length of XY is 18 units.