turkey-yks 2017 Q55

turkey-yks · Other · lys1-math Sine and Cosine Rules Multi-step composite figure problem
ABC isosceles triangle\ $AD \cap BC = \{ E \}$\ $AD \perp BC$\ $| \mathrm { AB } | = | \mathrm { BD } | = 6$ units\ $| AC | = | BC | = 9$ units\ $| CE | = \mathrm { x }$
Accordingly, what is x in units?\ A) 4\ B) 5\ C) 6\ D) 7\ E) 8
ABC isosceles triangle\
$AD \cap BC = \{ E \}$\
$AD \perp BC$\
$| \mathrm { AB } | = | \mathrm { BD } | = 6$ units\
$| AC | = | BC | = 9$ units\
$| CE | = \mathrm { x }$

Accordingly, what is x in units?\
A) 4\
B) 5\
C) 6\
D) 7\
E) 8