Question

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

Answer 1

XY = 18

Explanation:

Answer 2

`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`