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Mathematics
JAMB
In the diagram above, XY = 8cm and OX = 5cm. Find Oz
A.
9cm
B.
3.4cm
C.
9.1cm
D.
3cm
Correct Answer:
3cm
Explanation
hyp = 5cm, adj = 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
hyp = 5cm, adj = 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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