Answer:
shortest side = 3 in
Step-by-step explanation:
Sum the 3 sides and equate to 13, that is
x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is
x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )
x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )
2x + x = 24
3x = 24 ( divide both sides by 3 )
x = 8
Thus
x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then
The shortest side is x - 5 = 3 in
