Question

Two lengths of a triangle are shown.

[Not drawn to scale)
Which could be the length of BC?

Answer 1

11,

Explanation:

Okay so if I'm right (this is what I am choosing, doing the test currently,) It's 11, because it has to be bigger than one of the angles, but smaller than the sum of them, 6 and 6 is 12 and 11 is less than 12 but more than 6 so BoOm math.

Answer 2

11 ft

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)

`6+6 > BC\\12 > BC`

Rewrite

`BC< 12\ ft`

case b)

`6+BC > 6\\BC > 0`

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