There is a not so well-known theorem that solves this problem.
The theorem is stated as follows:
"Each angle bisector of a triangle divides the opposite side into segments proportional in length to the adjacent sides" (Coxeter & Greitzer)
This means that for a triangle ABC, where angle A has a bisector AD such that D is on the side BC, then
BD/DC=AB/AC
Here either
BD/DC=6/5=AB/AC, where AB=6.9,
then we solve for AC=AB*5/6=5.75,
or
BD/DC=6/5=AB/AC, where AC=6.9,
then we solve for AB=AC*6/5=8.28
Hence, the longest and shortest possible lengths of the third side are
8.28 and 5.75 units respectively.
10.10 so ya there's yo answer lol
Midpoint is simply the half of the distance between two points. In order to find this we will need to find the distance first and then find the midpoint... Let's start solving!~
<h3>Distance⤵️</h3>
<em>According to the solution, Their midpoint is at (6.4,0)</em><em>.</em><em>.</em><em>.</em>
2nd, 4th , 5th
(7x1=7), (7x10=70), (7x12=84)