Triangle ABC has sides of 5,6,and 7 units while triangle PQR has perimeter 360 units. If triangle ABC is similar to triangle PQR, find sides

Question

Triangle ABC has sides of 5,6,and 7 units while triangle PQR has perimeter 360 units. If triangle ABC is similar to triangle PQR, find sides of PQR

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Ruby 2 months 2021-11-28T15:02:26+00:00 1 Answer 0 views 0

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    2021-11-28T15:04:23+00:00

    Answer:

    Step-by-step explanation:

    For similar triangles, ratio of corresponding sides is equal.

    For triangles ∆ABC and ∆PQR –

    AB/PQ = BC/QR = AC/PR

    5/PQ = 6/QR = 7/PR

    Taking x as random variable,

    PQ = 5x

    QR = 6x

    PR = 7x

    Given that triangle PQR has perimeter 360 units.

    Perimeter = PQ + QR + PR

    360 = 5x + 6x + 7x

    360 = 18x

    x = 20

    So,

    PQ = 5x = 5×20 = 100 unit

    QR = 6x = 6×20 = 120 unit

    PR = 7x = 7×20 = 140 unit

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