The lengths of the diagonals of a rhombus
are 24 cm and 10 cm, respectively. Find
the length of all its sides. 13cm, 13 cm, 13cm
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Diagonals of a rhombus are 24 cm and 10 cm
We know that diagonal of a rhombus bisect each other at 90°. AO = OC & OB = OD & ∠AOB = ∠AOD = ∠BOC = ∠COD = 90°.
Therefore, AO = OC = 5 cm and BO = OD = 12 cm.
In ∆AOB,
AB² = OA² + OB²
[By using Pythagoras theorem]
AB² = 5² + 12²
AB² = 25 + 144
AB² = 169
AB = √169
AB = 13 cm.
Hence, the length of each side of the rhombus is 13 cm.
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