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

Question

asked Feb 11, 2020 178k views

2 Answers

SuperGoTeam · Answer 1 · 2020-02-17T17:49:23+0000

Answer:

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.