Answer:
The mid segment is 14 units in length.
Step-by-step explanation:
We are given the following information in the question:
Mid segment:
- A mid segment of a triangle is a segment that connects the midpoints of two sides of a triangle.
- It is always parallel to the third side.
- The length of the mid segment is half the length of the third side.
Thus, we can write:
[tex]3x+2 = \displaystyle\frac{1}{2}(2x+20)\\\\3x+2 = x +10\\3x-x=10-2\\2x = 8\\x = 4[/tex]
Length of mid segment =
[tex]3x + 2\\\text{Put x = 4}\\3(4) + 2 = 14[/tex]
The mid segment is 14 units in length.
