Answer
= 10
Explanation
EG is one of the diagonals of the rhombus and the other diagonal is FH.
EG = 16 and FH = 12
The diagonals of a rhombus meet at 90°
From this information we can form a right triangle with legs (16/2)=8 and (12/2)=6
The hypotenuse of this triangle is the side of the rhombus.
Using the pythagorean theorem;
L² = 6²+8²
Where L is the length of the rhombus.
L² = 6²+8²
L = √36+64
= √100
= 10