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ΔABC is similar to ΔAXY by a ratio of 4:3. If BC = 24, what is the length of XY? triangles ABC and AXY that share vertex A where point X is between points A and B and point Y is between points A and C XY = 18 XY = 32 XY = 6 XY = 8

User SouravA
by
6.1k points

2 Answers

2 votes

Answer:

XY = 18

Explanation:

User Binjie Liang
by
7.2k points
4 votes

Answer:


XY = 18

Explanation:

Given


ABC:AXY = 4 : 3


BC = 24

Required

Find XY

Represent BC and XY as a ratio;


BC : XY = 24 : xy

Recall that:


ABC:AXY = 4 : 3

Equate both ratios;


24 : xy = 4 : 3

Convert to fractions


(24)/(xy) = (4)/(3)

Cross Multiply


xy * 4 = 24 * 3


xy * 4 = 72

Divide through by 3


xy * 4/4 = 72/4


xy = 18

Hence:


XY = 18

User Roberto Olivares
by
6.9k points