Question

. If a triangle has lengths of 45 ft and 9 ft, check all the possible lengths for the third side.

a. 35 ft
b.58 ft
c.47 ft
d.54 ft
e.39 ft

Answer 1

The possible lengths for the third side of the triangle are 54 ft and 47 ft.

Step-by-step explanation:

To find the possible lengths of the third side of a triangle with lengths of 45 ft and 9 ft, we can use the triangle inequality theorem. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the sum of the two given sides is 45 ft + 9 ft = 54 ft. Therefore, the possible lengths for the third side of the triangle are:

1. 54 ft
2. 47 ft