We have a 30-60-90 right triangle
The side across from the 30° angle = 5 cm = the base of the triangle
The side across from the 60° angle is √3 times this = 5 √3 cm = height of the triangle
So.....the area is (base) (height) / 2 =
(5) * (5 √3) / 2 =
(25/2) √3 cm^2 ..... this is exact !!!