Find the area of a regular hexagon with apothem 2√3 mm. round to the nearest whole number.

Join the center of the hexagon with the 2 base angles.

An equilateral triangle, with side length x, is formed.

(remark: a regular hexagon is made up of 6 equilateral triangles with equal length)

The height  forms 2 congruent right triangles with :

hypotenuse= x, side_1=x/2, and side_2= .

From the pythagorean theorem we have:









thus, x=4.

The area of the triangle is 1/2 * 4 * =6.93 (mm squared)

The area of the hexagon is 6* the area of the triangle = 42 (mm squared)

a. 42 (mm squared)

The lateral side of a triangular pyramid is a triangle. in order to increase the lateral surface area, the slant height and the height should be altered

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