Two lengths of a triangle are shown.
[not drawn to scale)
which could be the length of bc?

11 ft

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

case a)

Rewrite

case b)

The solution for BC is the interval (0,12)

All real numbers greater than 0 ft and less than 12 ft

therefore

11 ft could be the length of BC

Step-by-step explanation:

4k - 6 < 3k + (k - 1)

4k < 3k + 6(k - 1)

4k < 3k + 6k - 6

4k < 9k - 6

4k - 9k < -6

-5k < -6

k < -6

-5

k < 6

5