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

User Marcuse
by
7.3k points

2 Answers

4 votes

Answer:

18

Explanation:

24/4 = 6 so....

4*6 is 24 and 3*6 is 18

User Anand Undavia
by
8.8k points
7 votes

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.

User SuperGoTeam
by
8.4k points
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