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Rhombus
Area 7 of 13
I know that for a rhombus
a
d1
=
and
d1
d2
=
. From this find out
Perimeter
Area
of the rhombus.
Solution
Rhombus Formula
Area Formula
Solution
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Area of Rhombus
Radius
`(r_1) = (d_1)/2`
Radius
`(r_2) = (d_2)/2`
Side
`(a) = sqrt(r_1^2 + r_2^2)`
Perimeter
`(P) = 4 a`
Area
`(SA) = (d_1 d_2)/2`
Example :
I know that for a rhombus d1 = 10 and d2 = 24 . From this find out Area of the rhombus.
`"Here, we have " d_1 = 10" and " d_2 = 24" (Given)"`
`a^2 = (d_1/2)^2 + (d_2/2)^2`
`a^2 = (10/2)^2 + (24/2)^2`
`a^2 = (5)^2 + (12)^2`
`a^2 = 169`
`a = 13`
`"Perimeter" = 4 * a`
` = 4 * 13`
` = 52`
`"Area" = 1/2 " (Product of diagonals)"`
` = 1/2 * d_1 * d_2`
` = 1/2 * 10 * 24`
` = 120`
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