An Etymological Dictionary of the German Language/reichen
reichen, vb., ‘to reach, extend, suffice,’ from MidHG. ‘to arrive at, attain, proffer. suffice, extend,’ OHG. reihhen, ‘to proffer, extend’; corresponding to AS. rœ̂čan (from *raikjan), and the equiv. E. to reach. Its connection with Goth. rakjan, ‘to reach,’ rahtôn, ‘to proffer,’ is not probable, for phonetic reasons; and on account of its meaning, the word can scarcely be related to the cognates of *rîk, ‘ruler,’ mentioned under Reich.