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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