• Answer of this question

    Show that of all line segments drawn from a given point not on it, the
    yogesh yadav's image
    yogesh yadav

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    • First take a triangle a given in the figure above. 
    • Then, extend line MN to L to make it easy to understand. 
    • Then as we know that sum of angle of triangle is 180 degree. 
    •  And as we also know that PN is pe
    • Perpendicular to MN (by construction) or(as it given in question.
    • Then angle N is 90 so other two angles obviously lesser than 90.
    • So, angle N is greater 
    •  Hence as we know that side opposite to larger angle is longer. 
    • So PM is greater than other two sides MN, PN. 
    • Hence, our question is proved.
    • ----------$------------- 

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    Written on Feb. 18, 2020, 8:36 p.m.