Answer: 5
Step-by-step explanation:
Let the point where the diagonals intersect be point E.
Since the diagonals of a rhombus are perpendicular bisectors of each other, this means that:
- BE = 3
- AE = 4
- AEB is a right triangle
So, using the Pythagorean theorem,
[tex]3^{2}+4^{2}=(AB)^{2}\\\\25=(AB)^{2}\\\\AB=5[/tex]
So, each side of the rhombus has a length of 5.
