ANSWER
AB, AC, BC
Step-by-step explanation
We have the given triangle with an unknown angle.
Let us find the unknown angle first.
The angles in a triangle sum up to 180 degrees.
So:
65 + 40 + 5 + 7x = 180
110 + 7x = 180
=> 7x = 180 - 110 = 70
=> x = 70 / 7
x = 10
The unknown angle is therefore:
5 + 7(10) = 5 + 70
= 75 degrees
So, the angles of the triangle are 40, 65 and 75 degrees.
The sides of the triangle correspond to the angles opposite them. This means that the larger the angle, the longer the side opposite it.
The angles and their corresponding opposite sides area:
40 degrees => AB
65 degrees => AC
75 degrees => BC
This means that in the order of shortest to longest, the list is:
AB, AC, BC