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Two sides of a triangle are given by the roots of the equation x2 - 5x + 6 =0 and the angle between the sides is π 3 . Then the perimeter of the triangle is
  • a)
    5 + √ 2
  • b)
    5 + √3
  • c)
    5 + √5
  • d)
    5 + √7
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two sides of a triangle are given by the roots of the equation x2 - 5x...


x2 - 5x + 6 = 0
or x2 - 3x - 2x + 6 = 0
or (x - 3) (x - 2) = 0
or x = 3, 2
So a = 3, b = 2, c = ?, ∠ A = π/3

∴ Perimeter of the triangle = a + b + c = 3 + 2 + √7 = 5 + √7
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Two sides of a triangle are given by the roots of the equation x2 - 5x...
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Two sides of a triangle are given by the roots of the equation x2 - 5x...


x2 - 5x + 6 = 0
or x2 - 3x - 2x + 6 = 0
or (x - 3) (x - 2) = 0
or x = 3, 2
So a = 3, b = 2, c = ?, ∠ A = π/3

∴ Perimeter of the triangle = a + b + c = 3 + 2 + √7 = 5 + √7
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Two sides of a triangle are given by the roots of the equation x2 - 5x + 6 =0 and the angle between the sides is π 3 . Then the perimeter of the triangle isa)5 + √ 2b)5 + √3c)5 + √5d)5 + √7Correct answer is option 'D'. Can you explain this answer?
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Two sides of a triangle are given by the roots of the equation x2 - 5x + 6 =0 and the angle between the sides is π 3 . Then the perimeter of the triangle isa)5 + √ 2b)5 + √3c)5 + √5d)5 + √7Correct answer is option 'D'. 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 Two sides of a triangle are given by the roots of the equation x2 - 5x + 6 =0 and the angle between the sides is π 3 . Then the perimeter of the triangle isa)5 + √ 2b)5 + √3c)5 + √5d)5 + √7Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two sides of a triangle are given by the roots of the equation x2 - 5x + 6 =0 and the angle between the sides is π 3 . Then the perimeter of the triangle isa)5 + √ 2b)5 + √3c)5 + √5d)5 + √7Correct answer is option 'D'. Can you explain this answer?.
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