The triangle midsegment theorem states that if the
midpoints of two sides of any triangle are joined by a line, then that line is
parallel to the third side and its length is half of that third side.
With that statement, we can define that:
side AB = 0.5 (side XY)
x + 1 = 0.5 (5 x ā 7)
x + 1 = 2.5 x ā 3.5
1.5 x = 4.5
x = 3
Ā
Therefore, the length of side AX can now be calculated
given x:
AX = 2 x ā 2
AX = 2 * 3 ā 2
AX = 4
Ā
AX = 4 units