In the diagram below, XY = 8cm and OX = 5cm. Find Oz

MATHEMATICS
JAMB 2022

In the diagram below, XY = 8cm and OX = 5cm. Find Oz

  • A. 9cm
  • B. 3.4cm
  • C. 9.1cm
  • D. 3cm

Correct Answer: D. 3cm

Explanation

hyp = 5cm, adj = \(\frac{8cm}{2}\) 4cm, opp = xcm

Pythagoras theorem:

hyp\(^2\) = opp\(^2\) + adj\(^2\)

5\(^2\) = x\(^2\) + 4\(^2\)

x\(^2\) = 25 - 16

x =9

x = 3cm



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