if a point a device line segment a b of length 10 centimetre internally In the ratio 2:3 then find the length of a d ​

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if a point a device line segment a b of length 10 centimetre internally In the ratio 2:3 then find the length of a d ​

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Latifah 3 years 2021-07-22T22:47:13+00:00 1 Answers 7 views 0

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    2021-07-22T22:48:47+00:00

    Given:

    Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.

    To find:

    The length of ad.

    Solution:

    If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.

    We know that,

    ab=ad+db

    Length of the segment ab is 10 cm.

    10=2x+3x

    10=5x

    Divide both sides by 5.

    2=x

    Now,

    ad=2x

    ad=2(2)

    ad=4

    Therefore, the length of segment ad is 4 centimetres.

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