Math

ΔABC and ΔDEF are similar. Find the values of x and y.
Triangle ABC is shown with side AB labeled y, side BC labeled 12, and side CA labeled 21. Triangle DEF is shown with side DE labeled 6, EF labeled 4, and FD labeled x.
A. x = 7, y = 12
B. x = 21, y = 12
C. x = 14, y = 18
D. x = 7, y = 18

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  1. DE/AB = 6/y
    EF/BC = 4/12 = 1/3
    FD/CA = x/21

    Now you know that all three ratios are the same, so just solve
    6/y = 1/3
    x/21 = 1/3

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  2. everything on ABC is 12/4 = 3 times the corresponding length on DEF
    x = 21/3
    y = 3*6

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