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This must be a regular hexagon. Draw a height from the lower left vertex to the upper left vertex (2 units). Draw a horizontal diagonal thru the hexagon "left to right". These lines create 2 triangles on the left. A hexagon has angles of 60 degrees. Because the two extra lines are perpendicular so this means the triangles are 30-60-90 triangles. The altitude of these triangles is 1/2 the height of the hexagon, so these 1re 1 unit. 30-60-90 triangles have sides in the ratio of 1 to sq rt 3 to 2, since our side opposite the 60 degree angle is 1 unit, set up a proportion and the hypotenuse of the triangle is 2 (sq rt 3)/3. The other side is (sq rt 3)/3.
Now draw one triangle from the center of the hexagon to any 2 adjacent vertices. This creates an equilateral triangle. Its sides are all 2 (sq rt 3)/3. Draw an altitude, which will cut that triangle into another 30-60-90 triangle. The altitude of this triangle is 1 unit (by proportion or the Pythagorean theorem). So the area of this one triangle is 1/2 bh = 1/2 (2(sq rt 3)/3)(1) = (sq rt 3)/3.
Since there are 6 of these triangles, multiply by 6 to get the total area of the hexagon. (sq rt 3)/3 x 6 = 2(sq rt 3) answer.
What else can I help you with?
What is the area of a hexagon with a perimeter of 12 units?
The area of a hexagon with a perimeter of 12 units is about 10.4 units2
What is the area of a regular hexagon with side lengths of 10 units?
The area of a regular hexagon with side lengths of 10 units is about 259.8 units2
What is a side of a hexagon with the area 70 in?
5.19067 units.
A hexagon has a grid on it the height of the hexagon is 2units what would be the approximate area?
300 thak you:)
What is the area of a reagular hexagon with the side length of 10?
The area of a reagular hexagon with the side length of 10 is 51.96 square units
What is the area of a triangle with the base of 5 units and height of 15 units?
Area = 0.5*base*height = 37.5 square units.
How do you find the height in the area of a hexagon?
first divide the hexagon into three parts a rectangle and two triangles then try to findthe areas of all and then take individual heights and add them to get the height of the hexagon
The diagram below shows a rectangle inside a regular hexagon the apothem of the hexagon is 15.59 units to the nearest square unit what is the area of the shaded region?
To find the area of the shaded region (the rectangle inside the hexagon), we first calculate the area of the hexagon using the formula ( \text{Area} = \frac{3\sqrt{3}}{2} \times a^2 ), where ( a ) is the apothem. Given that the apothem is 15.59 units, the area of the hexagon is approximately ( \frac{3\sqrt{3}}{2} \times (15.59^2) \approx 609.67 ) square units. Assuming the rectangle’s area is not specified, the shaded area would be the hexagon's area minus the rectangle's area. If the rectangle's area is provided, subtract it from the hexagon's area to find the shaded region's area.
What is the area of a parallelogram that has a base of 15 units and a height of 12.3 units?
Area = Base*Height = 15*12.3 = 184.5 square units.
What is the base of a parallelogram with height 5.6 and a area of 39.2 square meters?
Area = Base*Height so Base = Area/Height = 39.2/5.6 = 7 units. The exact units cannot be ascertained since the units for the height are not specified.
A hexagon has an area of 100 what is the length of one side?
The side length is 6.20403 units.
What is the area of a right triangle with a height of 4 units and a base of 3 units?
The area of a triangle is (1/2)(base)(height), or (1/2)bh. In this case, the base is 3 units and the height is 4 units, so the area is (1/2)(4)(3), which is 6 units squared.
