Mathematics
If the lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the length of its each side is :
26 cm
17 cm
15 cm
13 cm
Rectilinear Figures
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Answer
Let the rhombus be ABCD and its diagonals AC and BD intersect at point O.
We know that,
Diagonals of a rhombus bisect each other.
AC = 24 cm
OA = = 12 cm.
BD = 10 cm
OB = = 5 cm.
In triangle AOB,
OA2 + OB2 = AB2
122 + 52 = AB2
144 + 25 = AB2
169 = AB2
AB =
AB = 13 cm.
Hence, option 4 is the correct option.
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