Segment s_1 has endpoints at (3 + sqrt(2),5) and (4,7) . Segment s_2 has endpoints at (6 - sqrt(2),8) and (3,15). Find the midpoint of the segment with endpoints at the midpoints of s_1 and s_2. Express your answer as (a,b).
+128407 Midpoint of S1 = [ (3 + sqrt (2) + 4)/2 , ( 5 + 7)/2 ] = [ (7 + sqrt (2)) / 2 , 6 ]
Midpoint of S2 = [ ( 6 - sqrt (2) + 3 ) / 2 , (8 + 15) / 2 ] = [ (9-sqrt (2)) / 2, 23/2 ]
Midpoint of the segment with endpoints at the midpoints of s_1 and s_2
[ (7 + sqrt (2) + 9 - sqrt (2) ) / 2 , ( 6 + 23/2) / 2 ] =
[ 16/2 , (12/2 + 23/2) / 2 ] =
( 8 , 35 / 4 )
