Question on: JAMB Mathematics - 1990

A
16\(\sqrt{2}\)cm
B
8\(\sqrt{2}\)cm
C
4\(\sqrt{2}\)cm
D
22cm
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Correct Option: C
yzx + 105o + 30o = 180o
yzx = 180 - 155 = 45o
(\frac{yz}{sin 30^o} = \frac{8}{sin 45^o})
yz = (\frac{8 \sin 30}{sin 45})
= 8((\frac{1}{2}) = \frac{8}{1} \times \frac{1}{2} \times \frac{\sqrt{2}}{1})
= 4 (\div) (\frac{1}{\sqrt{2}})
= 4(\sqrt{2})cm
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