Question

In ΔCAB, if the measure of segment AB is 8 units and the measure of segment segment AC is 5 units, which of the following could be the measure of segment segment CB?

triangle CAB, point E is on segment AC between points A and C and point D is on segment BC between points B and C, creating segment ED

12 units
13 units
14 units
15 units

Answer 1

What do you think the answer is?

Answer 2

Ok I think we can use the (Triangle Inequality Theorem) to help solve this problem.

Triangle Inequality Theorem tells you that "The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the other two sides."

In the problem it states "segment AB is 8 units and the measure of segment segment AC is 5 units"

\[8+5=13\]

Now as stated before the last side had to be (Less) or (Equal to) 13 units.The only answer option (Less) than 13 units is A.)12 units.All other answer options are not equal or less than 13 units so there-for they are (Incorrect)


So your answer is A.)12 units


Sources Used: https://www.mathwarehouse.com/geometry/triangles/triangle-inequality-theorem-rule-explained.php