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Show that of all line segments …

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Show that of all line segments drawn from a given point not on it,the perpendicular line segment is the shortest.

    • Posted by Merina Tuzzahan 3 years, 11 months ago

    CBSE > Class 09 > Mathematics
    • 4 answers

    Merina Tuzzahan 3 years, 10 months ago

    A bus starting from rest moves with a uniform acceleration of 0.1 ms-² for 2min. Find (a) the speed acquired, (b) the distance travelled.

    1Thank You

    Ayushmaan Singh 3 years, 11 months ago

    https://www.teachoo.com/1194/440/Ex-7.4--6---Show-that-of-all-line-segments-drawn-from-a/category/Ex-7.4/

    1Thank You

    Nandana Anoop 3 years, 11 months ago

    Wrong

    1Thank You

    Yogita Ingle 3 years, 11 months ago

    Let L is a line And A is a point not on the line L.

    Now draw AC perpendicular to L.

    Again let D is a point on L other than C.

    Now in triangle ACD

    ∠C = 90

    Since ∠A + ∠C + ∠D = 180

    => ∠A + ∠D = 180 -  ∠C

    => ∠A + ∠D = 180 -  90

    => ∠A + ∠D = 90

    So ∠D is an acute angle.   

    So ∠C > ∠D

    => AD > AC   (since opposite to greater angle is greater)

    => AC < AD        

    So all line segments drawn from a given point not on it, the perpendicular line segment is the shortest.

    1Thank You

    ANSWER
    http://mycbseguide.com/examin8/

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