Mathematics
Grade9
Easy

Question

If WXYZ is a kite, find the length of diagonal XZ.

  1. 10
  2. 12
  3. 14
  4. 18

The correct answer is: 14



    From the above figure,
    Given : WY perpendicular XZ
    XO = 7
    angle X W O space equals space angle Z W O ( angular bisector)
    In triangleXWO and triangleZWO
    WO = WO ( Common side)
    angle X W O space equals space angle Z W O
    angle W O X space equals space angle Z O W space equals space 90 degree
    Thus by ASA congruency rule  triangleXWO approximately equal to triangleZWO
    Thus, XO = OZ = 7
    Thus, the length of diagonal XZ is 14.

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