Ask Question
21 August, 21:38

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

+2
Answers (2)
  1. 22 August, 00:13
    0
    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
  2. 22 August, 01:01
    0
    C and D
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Triangle ABC is an equilateral triangle. Segment AD measures 18 inches. Which statements about the diagram are correct? Check all that ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers