ΔABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD ⊥ BC, BE ⊥ AC and CF ⊥ AB. Which of the followign is true?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 3AC2 = 4BE2
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Understanding |
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Given: AD ⊥ BC, BE ⊥ AC and CF ⊥ AB In equilateral triangle: Height of the triangle = √3/2 × Side |
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Application |
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Height of the triangle ABC = BE = √3/2 × AC So, √3AC = 2BE ⇒ 3AC2 = 4BE2 |
