Triangle ABC is an equilateral triangle. Segment AD measures 18 inches.

Which statements about the diagram are correct? Check all that apply.

A) BD = 9 in. B) AB = 36 in. C) DC = 6 squared root of 3 in.

D) AC = 12 squared root of 3 in. E) BC = 18 squared root of 3 in.

The answer is C and D Download pdf

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

C and D