Answer:
The correct answer is option C and D.
C). DC = 6√3
D). AC = 12√3
Step-by-step explanation:
From the given information we get,
Triangle ABC is an equilateral triangle. Segment AD measures 18 inches.
ΔABC is an equilateral triangle, so all angles are 60°.AD is the perpendicular to BC from A.
2 triangles are formed.ΔABD and ΔACD
angles are in the ratio 30 : 60 : 90
Therefore the sides are in the ratio,
BD : AD : AB = 1: √3 : 2
AD = 18 then,
BD = 18/√3 = 6√3 = DC
AB = 36√3 = 12√3 = BC = AC
Therefore the correct answer is option C and D.
C). DC = 6√3
D). AC = 12√3