length of the diagonals of a rhombus are 24 cm and 18cm .find its areas
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area of rhombus is 216cm^2
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Let the rhombus ABCD, given that :
AC = 24cm and BD = 18cm.
Let the diagonal of rhombus bisects each other at right angle.
AO = OC = 12
and OB = OD = 9cm
Let ∠AOD = 90°
In right Δ AOD,
AO = 12cm and OD = 9cm
Using Pythagoras theorem,
AD² = AO² + OD²
AD² = ( 12) ² + ( 9) ²
AD = 15cm
Hence the all sides of rhombus are equal
Hence the each side of the rhombus is 15cm.
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