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OXYZW is a pyramid with a square base such that OX = OY= OZ = OW = 5cm and XY = XW = YZ ...

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
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • 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
\(\frac{6\sqrt{2}}{2}\) = \(\frac{3}{\sqrt{2}}\)
OT2 = 52 + (3\(\sqrt{2}\))2 = 25 + 18
OT = 4\(\sqrt{3}\)

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