Choose the correct alternative: If length of both diagonals of rhombus are 60 and 80, then what is the length of side? - Geometry Mathematics 2

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MCQ

Choose the correct alternative:

If length of both diagonals of rhombus are 60 and 80, then what is the length of side?

Options

  • 100

  • 50

  • 200

  • 400

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Solution

50

Let ABCD be the rhombus, diagonal AC = 60 and BD = 80

we know that the diagonals of a rhombus are perpendicular bisectors of each other.

∴ Diagonals AC and BD bisect each other at point M.

∴ In ∆AMD, ∠M = 90°, AM = 30, DM = 40

∴ AM2 + DM2 = AD2   ...[Pythagoras theorem]

∴ (30)2 + (40)2 = AD2

∴ 900 + 1600 = AD2

∴ AD2 = 2500

∴ AD = 50 units

Concept: Converse of Pythagoras Theorem
  Is there an error in this question or solution?
Chapter 2: Pythagoras Theorem - Q.1 (A)

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