Answer:
P = 47.32
Step-by-step explanation:
This triangle is a special triangle. Because it is 30-60-90 it will have measurements similar to [tex]1 - \sqrt{3} - 2[/tex]. If the longest side is 20 then it corresponds to 2. This means the shortest side of 1 corresponds to half this or 10.
So the triangle will have sides [tex]10 - 10\sqrt{3} - 20[/tex].
To find the perimeter add all these lengths.
[tex]P = 10 + 10\sqrt{3} +20\\P = 30+10\sqrt{3} \\ P = 47.32[/tex]
