Segment \(s_1\) has endpoints at \((3+\sqrt{2},5)\) and (4,7). Segment \(s_2\) has endpoints at \((6-\sqrt{2},3)\) and (3,5). Find the midpoint of the segment with endpoints at the midpoints of \(s_1\) and \(s_2\) . Express your answer as (a,b).
Okay, here we go: Let's start by finding the midpoint of \(s_1.\) We have \((\frac{7+\sqrt{2}}{2}, 6)\) and \((\frac{9-\sqrt{2}}{2}, 4).\) Now, we take the midpoint of these two numbers, yielding us with \(\boxed{(4, 5)}.\)
Okay, here we go: Let's start by finding the midpoint of \(s_1.\) We have \((\frac{7+\sqrt{2}}{2}, 6)\) and \((\frac{9-\sqrt{2}}{2}, 4).\) Now, we take the midpoint of these two numbers, yielding us with \(\boxed{(4, 5)}.\)
