Answer:
a] 4 ft, 6 ft, 11 ft
the sum of short side is (4+6)=10 which is less than the sum of the longest side. Therefore we conclude that the three lengths CANNOT make a triangle:
Answer: CANNOT make a triangle
b] 5 ft, 7 ft, 11 ft
sum of shorter sides is (5+7)=12
since 12 is greater than 11, then the three length can make a triangle.
Answer: CAN make a triangle
c] 7 ft, 8 ft, 14 ft
The sum of shorter side is:
(7+8)=15 ft
since the sum of shorter side is longer than that of the longer side, we conclude that the three lengths can form a triangle.
Answer: CAN make a triangle