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Let the lengths of the sides of a triangles be represented by x + 3, 2x – 3 and 3x – 5. If the perimeter of the triangle is 31, then the length of the longest side is
  • a)
    13
  • b)
    6
  • c)
    8
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Let the lengths of the sides of a triangles be represented by x + 3, 2...
Perimeter of a triangle = Sum of all sides
Given, length of the sides of a triangles be represented by x + 3, 2x – 3 and 3x – 5.
Perimeter = 31
⇒ x + 3 + 2x – 3 + 3x – 5 = 31
⇒ 6x = 36
⇒ x = 6
Sides are 9, 9 and 13
Thus, Longest side = 13
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Let the lengths of the sides of a triangles be represented by x + 3, 2x – 3 and 3x – 5. If the perimeter of the triangle is 31, then the length of the longest side isa)13b)6c)8d)4Correct answer is option 'A'. Can you explain this answer?
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