In the screenshot attached, isn’t one of the sides of the triangle supposed to be more than the difference but less than the sum of the other two sides and so in this question wouldnt 8< k (underoot(2)) <13 and not just k. So k will be equal to 7.07/ approx 7 and not 6??
Replied by email (you emailed this to Greg as well, who forwarded it to me).