Question

can a triangle have sides 1 ft, 4 ft, 6 ft? type yes or no.

Explanation:

Step1: Recall triangle - inequality theorem

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Step2: Check side - length combinations

1 + 4 = 5, and 5 < 6. Since the sum of the lengths of the two shorter sides (1 ft and 4 ft) is not greater than the length of the longest side (6 ft), a triangle cannot have sides 1 ft, 4 ft, 6 ft.

Answer:

no