# Geometry

posted by .

Assume each side of the hexagon is worth 10 units. Calculate the apothem, using the fact that it is part of a special triangle to get the answer exactly. Then use the exact value of the apothem to calculate the area of the hexagon.

• Geometry -

the apothem is the altitude of an equilateral triangle of side 10: 5√3

area = 1/2 apothem * perimeter = 1/2 * 5√3 * 10 = 25√3

## Similar Questions

1. ### Math--Area

Find the area of each regular polygon to the nearest tenth. Octagon with side length of 10 kilometers. Heres what I tried; but I don't know if im on the right track. Area=1/2 * Perimeter* Apothem Perimeter=base of octagon* number of …
2. ### Geometry

the side of a regular hexagon is twice the square root of its apothem. find the apothem and side length.
3. ### geometry

If the polygon is an equilateral triangle where each side is 24 inches long what is the apothem?
4. ### geometry

in order to find the area of a regular hexagon using the formula Area=1/2(nxs)(a)you must frist find the apothem whie vertical leg of a 30-60-90 triangle with the base of 3. Find the length of the apothem in the 30-60-90 triangle
5. ### Geometry

Hi, I'm having a difficult time understanding a couple of Geometry questions on my homework and I'd really appreciate it if someone could answer them and explain to me how to get the same answer. Question 1: A regular pentagon has …
6. ### Geometry

How do you find the apothem of a regular pentagon?
7. ### Geometry help

1. If a square has a radius of twelve, would its apothem be 6sqrt2?
8. ### Geometry

what is the relationship between the side length and the apothem in a regular hexagon?
9. ### Geometry

What is the relationship between the side length and the apothem of an equilateral triangle?
10. ### math

the area of a regular hexagon is given as 384√3 a. how long is each side of a hexagon b. find the radius of a hexagon c. find the apothem of a hexagon

More Similar Questions