1. A regular hexagon with side 12.

To find the height or the apothem..my equation:

h²+ 6² = 12²

h²+ 36 = 144

h²= 108

h= 6√3

Then to find the area of the regular hexagon...by formula of A=1/2ap,my equation is...

A= (1/2)(6√3)(72)

I got the equation up to here, but i have no idea of how to multiply the radical.....help with this please...(multiplying the radical...)

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Then please answer this question...

1. A regular pentagon with side S and apothem(=radius)3.

2. If ∆ ABC is similar to ∆ ADE, find the probability that a point selected at random from ∆ ABC will lie inside quadrilateral BDEC....?

3. Find the area of a square with diagonal √6 meters.

4. Find the area of a square with radius 3√2.

5. Find the area of an equilateral triangle with height 4√3.

6. Find the area of a regular pentagon with side 2x and apothem 1/2y.

7.The bisectors of the angles of triangle DEF intersect in a point that is equidistant from ?, ?, and ?.

8. In triangle GHI, the perpendicular bisectores segment GH, HI, and GI intersect at point Z. Name three congruent segments.

***PLEASE HELP ME..........ㅠㅠ***