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प्रश्न
Choose the correct alternative:
If length of both diagonals of rhombus are 60 and 80, then what is the length of side?
पर्याय
100
50
200
400
उत्तर
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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