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Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of the triangle ADE, then the length of AD is
  • a)
    ½ unit
  • b)
    1/3 unit
  • c)
    1/√2 unit
  • d)
    1/√3 unit
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Suppose ABC is a triangle with AB of unit length. D and E are the poin...

In triangle ADE and ABC
∠A is common
∠ADE = ∠ABC [∵ DE is parallel to BC as corresponding angles are same]
⇒ ADE ∼ ABC [∵ AA ∼]
⇒ Area (ADE) /Area (ABC) = (AD/AB)2
⇒ ½ = (AD/1)2
∴ AD = 1/√2 unit 
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Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of the triangle ADE, then the length of AD isa)½ unitb)1/3 unitc)1/√2 unitd)1/√3 unitCorrect answer is option 'C'. Can you explain this answer?
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Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of the triangle ADE, then the length of AD isa)½ unitb)1/3 unitc)1/√2 unitd)1/√3 unitCorrect answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of the triangle ADE, then the length of AD isa)½ unitb)1/3 unitc)1/√2 unitd)1/√3 unitCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose ABC is a triangle with AB of unit length. D and E are the points lying on AB and AC respectively such that BC and DE are parallel. If the area of triangle ABC is twice the area of the triangle ADE, then the length of AD isa)½ unitb)1/3 unitc)1/√2 unitd)1/√3 unitCorrect answer is option 'C'. Can you explain this answer?.
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