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

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

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Adela 3 years 2021-08-26T08:15:03+00:00 1 Answers 78 views 0

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    2021-08-26T08:16:50+00:00

    Answer:

    XY = 18

    Step-by-step 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

    \frac{24}{xy} = \frac{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

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