Fatima Jama

Doctor Kembitzky

Geometry

Might 9 2013

Hexagon Location

Hello Timmy! I read you have recently been sick with the flu for a time so , We took the freedom of getting you on your feet before class so you are generally not lost. So this paper will help you find the area of a hexagon using special right triangles, using trigonometry, breaking the hexagon into more compact polygons, and even show you how to construct one! And so let's start, this hexagon has a radius of 6th cm, understand that there are many different strategies to do locate the area of any hexagon. Utilize formula 1/2asn meaning; ВЅ (apothem) (side length) (number of sides). You can set two radii (radii is a term for more than one radius) together and make a triangle. We have a problem do not know the apothem (line section of a frequent polygon in the center towards the midpoint of 1 of their sides)! To find the apothem you must find the perspective measure of the central perspective 360/the quantity of sides so it would be 360/6 which is 60. Then draw a collection down the middle of the triangle, then you must is not sufficient in half therefore , 60/2= 35 at this point you recognize that the two triangles are 30-60-90 triangles. Since you know the hypotenuses is several you break down six by simply two, and stick a radical three on the end from it and, viola! You have your apothem. You might have noticed that the triangle that produces the hexagon is equilateral which means that the base of the triangular is also 6. This is great we know all the pieces towards the formula. ВЅ (3в€љ3)(6)(6 ( hexagons will have six factors, just saying! )) =54в€љ3 cm.

2 . three or more.

You are doing superb Timmy, you now should know that you just can't always use special correct triangles to get the apothem you should use trigonometry to find the apothem. The apothem bisects the equilateral triangle ( every triangles within a hexagon are equilateral) in two 30-60-90 triangles, the...

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find, understand, apothem, triangles, triangle, sides, equilateral, find apothem, regular polygon, polygon, triangular-
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