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Class 8-9-10, JEE & NEET
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The length of the diagonals of a rhombus are 40 cm and 42 cm. Find the length of each sides of the rhombus
Suppose ABCD is a rhombus.
We know that the digonals of a rhombus perpendicularly bisect each other.
∴ ∠AOB = 90, AO = 20 cm and BO = 21 cm
Now, In right triangle AOB
By using Pythagoras theorem we have
AB = AO + OB
= 20 + 21
= 400 + 441
∴AB = 841
⇒ AB = 29 cm
Since, all the sides of a rhombus are equal.
Hence, AB = BC = CD = DA = 29 cm