6. The length of the diagonols of a
rhombus are 24 cm and 10 cm. Find each
side of the rhombus.
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Answer :- 13 cm
Explanation :-
Given :- ABCD is a rhombus
BD and AC are the diagonal of the rhombus with length 24 cm and 10 cm.
We, known Diagonal of rhombus bisect each other
therefore, AO = OE = 5 cm
DO = OB = 12 cm
We, know that the diagonals of rhombus are perpendicular
Therefore, In △ AOD
∠AOD = 90°
Using Pythagoras theorem
AD^2 = AO^2 + DO^2
= 5^2 + 12^2
= 25 + 144
= 169
AD = √169
AD = 13 cm
Therefore, AD = 13 cm
Sides of rhombus are equal
So, AD = DC = CB = BA = 13 cm
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