Question

The length of the diagonals of rhombus are 24cm and 10cm. Find each side of the rhombus.

Answer 1

It is given that the diagonals of a rhombus are of length 14cm and 10cm respectively
∴ d₁ = 24cm, d₂ = 10cm
The diagonals of a rhombus bisect each other

∴ `("d"_1/2)^2 + ("d"_2/2)^2` = side²

⇒ side²
= 122 + 52
= 144 + 25
= 132
⇒ Side = 13
Thus, each side of the rhombus is of length 13cm.