Question

If a triangle has lengths of 3ft and 54ft, what are all the possible lengths for the third side?

51ft
53ft
55ft
57ft
58ft

Answer 1

53, 55

Explanation:

by the triangular inequality theorem, in a triangle.. sum of two sides is always greater than the third side.

3+54=57 ... exclude 57 and 58

3+51=54 ... exclude 51