The length of one side of the given rhombus is; C: 10 units
The half diagonals of a rhombus are the legs of a right angle triangle with the hypotenuse being the side of the rhombus.
We see that EG and FH are the diagonals of the rhombus. This means that the half-diagonals measure 8 and 6.
Using Pythagoras theorem, we can find the hypotenuse which is the length of the side of the rhombus.
Thus;
8² + 6² = c²
64 + 36 = c²
100 = c²
c² = 100
c = 10
In conclusion, the length of one side of the rhombus is 10 units
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