In a equilateral triangle ABC, if AD &pe

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a equilateral triangle ABC, if AD ⊥ BC, then :

Options:

2 AB² = 3 AD²

4 AB² = 3 AD²

3 AB² = 4 AD²

3 AB² = 2 AD²

Correct Answer:

3 AB² = 4 AD²

Explanation:

AB² = BD² + AD²

AB² = (\(\frac{1}{2AB}\))² + AD²

∴ 4 AB² = AB² + 4 AD²

⇒ 3 AB² = 4 AD²