Respuesta :

Answer: 10 units

Step-by-step explanation:

The length of one side of the given rhombus is; C: 10 units

What is the length of the rhombus?

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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