Answer:
see images
Explanation:
For all of these questions it helps to know the special right triangle, the 30°-60°-90° triangle. There is a special shortcut to find the sides of the 30°-60°-90° triangle.
For question4 and 5, these are equilateral triangles so the angles are all 60° So if you drop the height, it makes two 30°-60°-90° triangles. ***The short leg is HALF the hypotenuse or the hypotenuse is DOUBLE the short leg. The long leg is the short leg × sqroot3.***
This shortcut, special rt triangle info is used in all three of your questions. See image. Then you will have base and height or the apothem and side length for the Apothem Area formula:
A = 1/2 a•s•n
where a is the apothem, s is the side length and n is the number of sides. It looked like you already used this formula. See image.