In the figure the line segment ST is tangent to... - JAMB Mathematics 1993 Question

A
7 \(\sqrt{3}\)cm
B
12.9cm
C
\(\sqrt{87}\)cm
D
7cm
correct option: b
SQ2 + OS2 = OQ2 + 52 = 142
SQ2 = 142 - 52
196 - 25 = 171
ST2 + TQ2 = SQ2
ST2 + 22 = 171
ST2 = 171 - 4
= 167
ST = (\sqrt{167})
= 12.92 = 12.9cm
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