turkey-yks 2013 Q38

turkey-yks · Other · ygs Circles Chord Length and Chord Properties
$ABCDEF$ is a regular hexagon $|AL| = |LB|$ $| \mathrm { BC } | = 4 \mathrm {~cm}$ $| \mathrm { DK } | = 3 \mathrm {~cm}$ $|KE| = \mathrm { x }$ According to the given information above, what is x in cm?
A) $4 \sqrt { 3 }$
B) $3 \sqrt { 5 }$
C) $3 \sqrt { 7 }$
D) 6
E) 7
$ABCDEF$ is a regular hexagon\\
$|AL| = |LB|$\\
$| \mathrm { BC } | = 4 \mathrm {~cm}$\\
$| \mathrm { DK } | = 3 \mathrm {~cm}$\\
$|KE| = \mathrm { x }$\\
According to the given information above, what is x in cm?\\
A) $4 \sqrt { 3 }$\\
B) $3 \sqrt { 5 }$\\
C) $3 \sqrt { 7 }$\\
D) 6\\
E) 7