11.ABCD is a rhombus whose
diagonals intersect at 0. If AB
=10 cm, diagonal BD = 16 cm,
find the length of diagonal AC.
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Explanation:
Solution:
As we know that the all the sides of a rhombus are equal
So, AD=10cm
By Pythagoras theorem,
AO^2+OD^2=AD^2
AO^2=AD^2-OD^2
=(10)^2-(8)^2
=(10+8)(10-8)
=18×2
AO=√36=6cm
Diagonal AC=6×2=12cm
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