Question

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

Answer 1

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