Question

The segments shown below could form a triangle. A.) True B.) False

Answer 1

Question:

The segments shown below can't form a triangle.

A.) True

B.) False

Both shorter lines can't equal 16

Answer:

False

Answer 2

For the segments above to form a triangle, the sums of two lines needs to be greater than the third one, so, for a triangle to form, all of the the following need to apply:

AC + CB > BA ⇒ 9 + 7 > 16 ⇒ 16 = 16 (Doesn't apply)

AC + BA > CB ⇒ 9 + 16 > 7 ⇒ 25 > 7 (Applies)

CB + BA > AC ⇒ 7 + 16 > 9 ⇒ 23 > 9 (Applies)

→ Since not all of the above apply, no triangle can be formed.

Answer:

$\boxed{\bf~False,~the~segments~don't~form~a~triangle.}$

Hope it helped,

BioTeacher101

(If you have any questions, feel free to ask them in the comments)