The diagonal of a rhombus are 12cm and 16cm .Find the length of one side of Rhombus

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Solution

In a Rhombus ABCD
Diagonals intersect at O
AC=12cm
BD=16cm

half of AC=AO
half of 12cm=A0
AO=6cm

half of BD=OD
half of 16cm=OD
OD=8cm

AD=side of rhombus ABCD
side²=AO² + OD²(pythagorus theorum)
side²=6²+ 8²
side²=36 + 64
side²=100
side²=10²
side=10cm

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