Question

3.
If ABC is an equilateral triangle with AD is perpendicular to BC, prove that AD2 = 3DC2
OR​

Answer 1

Answer:

Step-by-step explanation:

Here is your answer

Here given triangle ABC must be an equilateral triangle and we have to prove AD2 =  3BD

In right ∆ABD,

AB2 = BD2 + AD2

⇒ BC2 = BD2 + AD2   (AB = BC)

⇒ (2BD)2 = BD2 + AD2   [From (1)]

⇒ 4BD2 = BD2 + AD2

⇒ AD2 = 3BD2 = 3DC2  [As BD = DC]