Question

triangle ABC is an equilateral triangle such that AD is perpendicular to BC then A D square is equal to?​

Answer 1

Answer:

Step-by-step explanation:

Ad perpendicular bc

BD=DC=1/2BC

2bd=bc

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]

Hence proved

Answer 2

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