Answer:
AB = 54
Step-by-step explanation:
DE is a midsegment of the triangle and is half of AB , that is
2x + 13 = [tex]\frac{1}{2}[/tex](13x - 37) ← multiply through by 2 to clear the fraction
4x + 26 = 13x - 37 ( subtract 13x from both sides )
- 9x + 26 = - 37 ( subtract 26 from both sides )
- 9x = - 63 ( divide both sides by - 9 )
x = 7
Thus
AB = 13x - 37 = 13(7) - 37 = 91 - 37 = 54
