A triangle divided in four
Lake frontage =
Apply Pythagoras rule to find distance to Lake
L^2 + ( 48 + 55 + 61)^2 = 174^2
L=√ ( 174^2 - 164^2) = √(30276 - 26896)= √3380
L= 58.14
Then now divide
174/ 164 = A/48
A= 48• (174/164)= 50.93 yards
B= 55•(174/164)= 58.35 yards
C= 61• (174/164)= 64.72 yards