Question

The triangle shown above is Obtuse, where AC is
the longest side and AB is the shortest side .What
are all possible lengths of AB if k is a positive integer?
​

Answer 1

Answer:

k = 4

Step-by-step explanation:

According to basic property of triangle, the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If AC is a longest side then k ≠ 3. If k = 5 then AC = AB + BC, thus there is no triangle.

So, k = 4