Question

The diagonals of a rhombus are 16 cm and 12 cm. Find the length of each side of the rhombus.

Answer 1

All the sides of a rhombus are equal in length.
The diagonals of a rhombus intersect at ${90}^{\circ }$.
The diagonal and the side of a rhombus form right triangles.

In $△AOB$:
$$\begin{gathered} A{B}^2=AO{}^2+O{B}^2 \\ =8^2+6^2 \\ =64+36 \\ =100 \\ AB=10\mathrm{cm} \end{gathered}$$
Therefore, the length of each side of the rhombus is 10 cm.