JAMB - Mathematics (2022 - No. 31)

In the diagram above, XY = 8cm and OX = 5cm. Find Oz
9cm
3.4cm
9.1cm
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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