Answer:
- x = 11
- midline = 16
- baseline = 32
Explanation:
You have a triangle with its midline length given as x+5 and its parallel base line length given as 3x-1. We presume you want to know the value of x and the lengths of the segments.
Midline
The midline is half the length of the parallel base line, so you have ...
x +5 = 1/2(3x -1)
Solution
2x +10 = 3x -1 . . . . . . . multiply by 2
11 = x . . . . . . . . . . . . . add 1-2x
The midline length is x+5 = 11+5 = 16.
The base line length is 3x-1 = 33 -1 = 32, twice the length of the midline.
The solution to the triangle is ...
- x = 11
- midline = 16
- base line = 32