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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
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
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