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C.) 4 sqrt2

Step-by-step explanation:

ON=MN

therefore you can use pythagereum theorum here in a right triangle

as the hypotnuese is 8 you know that ON and MN is equal to the sqrt of 32 each. As A^2+ B^2=C^2

C=8 so C^2= 64 therefore,

A^2+ B^2=64 therefore,

A^2= 32 and B^2=32

you take the sqrt of 32 you get 4sqrt2