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Let l, m and n be three consecutive natural numbers (l > m > n). If the angle A of △ABC be given by and the perimetre of the triangle is 12 units, then the area of the triangle ABC is
  • a)
    4√3 sq. units
  • b)
    6 sq. units
  • c)
    4C2 sq. units
  • d)
    4! sq. units
Correct answer is option 'B,C'. Can you explain this answer?
Most Upvoted Answer
Let l, m and n be three consecutive natural numbers (l > m > n). If t...
(a2 + b2 + c2)(l2 + m2 + n2) - (al + bm + cn)2
= (am - bl)2 + (bn - cm)2 + (cl - an)2 > 0
As, l = m + 1 and n = m - 1
⇒ a + b + c = λ(3 m)
⇒ λm = 4
⇒ a = λ(m + 1) and b = 4
c = λ(m - 1) = 4 - λ
a = 4 + λ
As sin A = 1
⇒ λ = 1
Hence, a = 5, b = 4 and c = 3
Area of △ABC
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Let l, m and n be three consecutive natural numbers (l > m > n). If the angle A of △ABC be given by and the perimetre of the triangle is 12 units, then the area of the triangle ABC isa)4√3 sq. unitsb)6 sq. unitsc)4C2 sq. unitsd)4! sq. unitsCorrect answer is option 'B,C'. Can you explain this answer?
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Let l, m and n be three consecutive natural numbers (l > m > n). If the angle A of △ABC be given by and the perimetre of the triangle is 12 units, then the area of the triangle ABC isa)4√3 sq. unitsb)6 sq. unitsc)4C2 sq. unitsd)4! sq. unitsCorrect answer is option 'B,C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let l, m and n be three consecutive natural numbers (l > m > n). If the angle A of △ABC be given by and the perimetre of the triangle is 12 units, then the area of the triangle ABC isa)4√3 sq. unitsb)6 sq. unitsc)4C2 sq. unitsd)4! sq. unitsCorrect answer is option 'B,C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let l, m and n be three consecutive natural numbers (l > m > n). If the angle A of △ABC be given by and the perimetre of the triangle is 12 units, then the area of the triangle ABC isa)4√3 sq. unitsb)6 sq. unitsc)4C2 sq. unitsd)4! sq. unitsCorrect answer is option 'B,C'. Can you explain this answer?.
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