Answer :

We know in rhombus diagonals bisect each other at right angle.


BO =

Using pythagorous theorem in ΔAOB

AB2 = AO2 + BO2

102 = AO2 + 82

100-64 = AO2

AO2 = 36

AO = = 6cm

Therefore length of diagonal AC of rhombus ABCD is 6 × 2 = 12cm.

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