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In triangle ABC it is given …

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In triangle ABC it is given that DE || BC . If AD=3 & DB=2 & DE=6 then find BC

    • Posted by Yogesh Parihar 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Neha Sirur 6 years, 10 months ago

    By aaa criteria...triamgle ade~abc Ad/ab=de/bc...2/5=6/bc...hence bc=15cm...

    0Thank You

    Gaurav Seth 6 years, 10 months ago

    Given: ABC is a triangle , DE parallel BC and AD= 3 cm, DB=2 cm and DE=6 cm 

    To find:  AE

    sol:  Since DE parallel BC 

          angle ADE= angle ABC (corresponding angles)

    and angle AED = angle ACB  (                "               )

    Triangle ADE ≈ triangle ABC ( by AA similarity)

    therefore ,  AD/AB=DE/BC=AE/AC          (1)

    From (1)

    AD/AB=AE/AC

    2/5=x/18

    2×18=5x

    36=5x

    x=36/5

    x=7.5cm

    ∵ AE = 7.5 cm

    0Thank You

    Priyanshi Khandelwal 6 years, 10 months ago

    9

    1Thank You

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