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23 November, 16:34

Triangle XYZ is similar to Triangle PQR, in triangle XYZ, XY = 4cm, YZ=6cm, XZ=5cm, in triangle PQR PQ=8cm find remaining sides of triangle PQR

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  1. 23 November, 16:47
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    QR = 12 (cm), RP = 10 (cm)

    Step-by-step explanation:

    Corresponding sides of the triangles:

    XY : PQ, YZ : QR, ZX : RP.

    For similar triangles ratios of corresponding sides are the same

    XY : PQ = 4 : 8 = 1 : 2

    YZ : QR = 1 : 2

    ZX : RP = 1 : 2

    YZ : QR = 1 : 2

    6 : QR = 1 : 2, QR = 12 (cm)

    ZX : RP = 1 : 2

    5 : RP = 1 : 2, RP = 10 (cm)
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