If the length of diagonals of a rhombus are 10 cm and 24 cm then the side of the rhombus is.
Answer & explanation
Correct answer: option 3
As per the above figture: Diagonals are AC and DB
ATQ, AC = 10cm, DB = 24cm
Note: In rhombus, Diagonals are always bisect each other at right angle.
O is the intersecting point of two diagonals, which bisects the diagonals at right angle.
Thus, AO = 5 cm, DO = 12cm
In ΔAOD (right angle triangle):
⇒ $AO^2 + OD^2 = AD^2$
$25 + 144 = AD^2$
AD = Side of rhombus = $\sqrt{169} = 13$ cm