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OXYZW is a pyramid with a square base such that OX = OY= OZ =…

OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ = WZ = 6cm. Find the height OT
  • A.
    2(sqrt{5})
  • B.
    3
  • C.
    4
  • D.
    4(sqrt{3})
Correct Answer: Option D
Explanation

xz2 = 62 + 62
36 + 36 = 72
xz = (sqrt{72})
6(sqrt{2}) = xT
(frac{6sqrt{2}}{2}) = (frac{3}{sqrt{2}})
OT2 = 52 + (3(sqrt{2}))2 = 25 + 18
OT = 4(sqrt{3})