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The product of the lengths of the diagonals of a square is 50 square units. What is the length of a side of the square?
  • a)
    5√2 units
  • b)
    5 units
  • c)
    10 units
  • d)
    2√5 units
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The product of the lengths of the diagonals of a square is 50 square u...
Both the diagonals have same length,
∴ Product of length of diagonals = Square of the length of diagonal
Length of diagonal = √2 × length of side
Length of diagonal2 = 2 × Length of side2
50 = 2 × s2
25 = s2
∴ s = 5 units
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Most Upvoted Answer
The product of the lengths of the diagonals of a square is 50 square u...
Both the diagonals have same length,
∴ Product of length of diagonals = Square of the length of diagonal
Length of diagonal = √2 × length of side
Length of diagonal2 = 2 × Length of side2
50 = 2 × s2
25 = s2
∴ s = 5 units
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The product of the lengths of the diagonals of a square is 50 square units. What is the length of a side of the square?a)5√2 unitsb)5 unitsc)10 unitsd)2√5 unitsCorrect answer is option 'B'. Can you explain this answer?
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