The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.
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Regular Hexagon, Square, and Equilateral Triangle. (Apex)
The perimeter of a regular hexagon is: length times the # of sides, which in this case happens to be six. The perimeter of a regular hexagon= l(6)
A regular shape. ( square -regular rectange-, regular pentagon, regular hexagon, equilateral triangle etc. etc.)
The area of a regular hexagon with a perimeter 120m is about 1039.2m2
Equilateral
Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.
In our example, the area of the equilateral triangle is 1/6 of the area of the regular hexagon
An equilateral triangle, a square and a hexagon.
Regular Hexagon, Square, and Equilateral Triangle. (Apex)
regular hexagon, square, equilateral triangle...apex
Equilateral triangle, square and regular hexagon.
Put one angle of each triangle at the center of the hexagon.
A hexagon has 6 sides, all equal to one another, which means it has symmetry. Simply fold the hexagon until it makes a triangle _ / \ \_/
The side and the radius of a regular hexagon are congruent therefore 6 times 12 is 72. The reason the radius and side are the same is that the radius bisects the angle and it is 120. 60 degree angles are part of an equilateral triangle.
It all depends really, on; 1. What you mean by regular hexagon? and 2. Are all the sides equal? If you answered number two with a yes, then yes.
Equilateral triangle, square and regular hexagon.
A regular hexagon is made up of six congruent equilateral triangles, the area of an equilateral triangle can be computed using the formula s2(√3)/4, where s is the length of one side of the triangle. Since the hexagon comprises 6 equilateral triangles, each triangle has an area of 24/6 = 4. Solving for 4 = s2(√3)/4 gives s = 4/(3^(1/4)). Since one side of the triangle is also one side of the hexagon, we can multiply this by 6 to find the perimeter of the hexagon: 6 × 4/(3^(1/4)) = 8×3^(3/4) ≈ 18.23 Therefore, the perimeter of a hexagon whose area is 24 is 8×3^(3/4) or approximately 18.236056455638221135948506015709