In an equilateral triangle ABC, the side BC is trisected at D, then 9A

1.	In an equilateral triangle ABC, the side BC is trisected at D, then 9AD2 is .......(1) 7AB2 (2) 8BC2 (3) 4AC2(4) 3/2 AB2
Answer» Correct option is (1) 7AB² Let A(0, 0), B(2a, 0), C(a, √3 a), Then D \((\frac{4a}{3},\frac{2\sqrt{3}}{3})\) ⇒ 9 AD² = 28a² = 7 AB²

In an equilateral triangle ABC, the side BC is trisected at D, then 9AD2 is .......(1) 7AB2 (2) 8BC2 (3) 4AC2(4) 3/2 AB2

Answer»

Correct option is (1) 7AB²

Let A(0, 0), B(2a, 0), C(a, √3 a),

Then D \((\frac{4a}{3},\frac{2\sqrt{3}}{3})\)

⇒ 9 AD² = 28a²

= 7 AB²

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In an equilateral triangle ABC, the side BC is trisected at D, then 9AD2 is .......(1) 7AB2 (2) 8BC2 (3) 4AC2(4) 3/2 AB2

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