We find that diagonals are shorter than the sides and yet the quadrilateral is formed. Is it possible? Can any quadrilateral have its diagonals shorter than its sides? (Refer the photo attached)

We find that diagonals are shorter than the sides and yet the quadrilateral is formed. Is it possible? Can any quadrilateral have its diagonals shorter than its sides? (Refer the photo attached) page 161 vertices of a square. (ii)Let the points (- 3, 5), (3, I), (O, 3), and (-1, -4) be representing the vertices A, B, C, and D of the given quadrilateral respectively. It can be observed that all sides of this quadrilateral are of different lengths. Therefore, it can be said that it is only a general quadrilateral, and not specific such as square, rectangle, etc. (iii)Let the points (4, 5), (7, 6), (4, 3), and (1, 2) be representing the vertices A, B, C, and D of the given quadrilateral respectively. Question

Please find below the solution to the asked query:

Yes , We can have quadrilateral where diagonal length is shorter than the sides length of quadrilateral  .

Hope this information will clear your doubts about topic.
 

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