Answer:
[tex]7.5+2.5\sqrt{3}[/tex]
Step-by-step explanation:
The ratio of sides in a 30-60-90 triangle is [tex]1:2:\sqrt{3}[/tex]. Since the hypotenuse is the longest side, the shortest leg is 5/2=2.5. The leg that would usually be [tex]\sqrt{3}[/tex] is now [tex]2.5\sqrt{3}\approx 4.33[/tex]. Adding all of these together, you get [tex]7.5+2.5\sqrt{3}\approx 11.83[/tex]. Hope this helps!