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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