The Fencing Problem
There is a need to make a fence that is 1000m long. The area inside
the fence has to have the maximum area. I am investigating which shape
would give this.
Triangles: Scalene
[IMAGE]
The diagram above is not to scale. Instead of having the perimeter to
1000m, only in this diagram, I have made the perimeters of the shape
to 10, only to make this part of the investigation easier to
understand. We know that the base of all the shapes is 2. The lengths
for the equilateral triangle are 4 on each side. This part of the
investigation is to explain why the triangle with the longest height
cannot have the same base. The tallest triangle also has a perimeter
of 10. One of the sides for the tallest triangle is 5, which is
understandable. However the other side is 3. This is literally
impossible to be because if this triangle was drawn to scale, then the
side that is 3 will not end up reaching the base. The isosceles
triangle has a side of 4 and it looks shorter than the side of 3. The
only way the higher triangle will reach is if the base is shortened.
So in the formula 'h x b ÷ 2', in the case of the higher triangle, the
height will be longer but the base will be shorter.
Looking at this diagram, there is no need to draw out tables to find
out whether or not a scalene triangle is bigger than an equilateral or
an isosceles in terms of area. I have made it so that the base is the
same width for all triangles. The lines that are going from top to
bottom on each triangle represent the height. It shows that if the
base stays the same for all triangles, a scalene can never have the
larger height and larger base than the isosceles and if it doesn't
have the larger height and base then it cannot have the larger area
either.
[IMAGE]
| |square feet of enclosed space, with 23,000 additional square feet of outside garden area. The Home Depot |
This shows that there is a difference of 2cm between A and B, and B
Racism is defined as, “the belief that all members of each race possess characteristics or abilities specific to that race, especially so as to distinguish it as inferior or superior to another race or races” (Merriam-Webster). Director Philip Noyce conveys Webster’s definition of racism in his 2002 film, Rabbit-Proof Fence, by examining Aboriginal racism of the 1930s through the eyes of three young girls: Molly, Gracie and Daisy who are forcefully taken from their mothers by the Australian government; and a man, Neville, who believes that giving half-castes a chance to join his “civilized society” is the virtuous thing to do, even if it means stripping them of their family, traditions and culture. The film follows the girls as they escape from the Moore River Native Settlement, an indentured servant training camp for half-castes, and walk 1,200 miles back to their home in Jigalong. Noyce weaves story progression and character development throughout the film to demonstrate the theme of racism and covey the discriminations that occurred to Australia’s stolen generation and Aboriginal people during the 1930s.
To be human is to confront challenges and difficulties on life’s journey. Individuals may react to such changes in their lives with determination and courage. Determination can be a powerful and driving force; it can lead people to strive to where they want to be and what they want to do. Courage is the quality of mind and spirit that enables a person to endure difficulty, danger and pain. Courage allows a person to show great bravery. The Stolen Generation was a horrific period in history when the Australian Government were forcing the removal of Aboriginal and half caste children from their families and homes to live in white Christian settlements across Australia. The forced removal was official government policy from 1905 to 1971. Rabbit Proof Fence by Phillip Noyce allows the viewer to witness such challenges as they follow Molly on her long journey home to Jigalong in 1931 after she and her sister Daisy and her cousin Gracie are ‘stolen’ and put into a white English settlement, named Moore River, to ‘protect them from themselves’.
A triangle has certain properties such as all of the angles. add up to 180o and even if we have never thought about it before we clearly recognise these properties ‘whether we want to or not’. Cottingham. J. 1986). The 'Secondary' of the 'Se A triangle’s real meaning is independent of our mind, just as God’s existence is.
a level area of land. She is not concerned about the shape of the plot
In the play Fences written by August Wilson, Bono, an African American man living in the 1950s states that, “Some people build fences to keep people out...and other people build fences to keep people in” (Wilson 61). In a well developed essay, explore the rationales that lead one to build a fence, and explain what the fence offers to the people who reside inside it.
If a segment joins the midpoint of two sides of a triangle, then the segment is parallel to the third side and half its length.
I have been given 1000 meters of fencing and my aim is to find out the
I predict that the as I increase the height of the slope (or the angle
Using a square, both the length & the width are equal. I am using a
but it must have a perimeter of 1000 m. She wishes to fence of a plot
One of the common concepts of Euclidean geometry that is being taught in school is the area of an object. The simplest case is a rectangle with sides a and b, and has area ab. By putting a triangle into an appropriate rectangle. One can show that the area of the triangle is half the product of the length of one of its bases and its corresponding height, thus the formula to find the area of a triangle is bh/2 (Artmann, 2016, para. 8). The study of triangles is very essential in
Fences in wildlife are put in place for multiple reasons, including preventing the spread of diseases, protecting wildlife from poachers and to help manage small populations of threatened species. In addition negative human-wildlife contact is also a reason for the large-scale fences that are put in place. Some wildlife carry diseases that are a potential threat to human life, and wildlife have the potential to damage livestock, crops and infrastructures. So to me I would never have given fences a second thought because obviously we want to keep those diseases separate from us. Fencing does seem to be mutually beneficial to both wildlife and people to avoid such detrimental effec...
The Pythagoreans studied triangles with the ratio 3:4:5. They noticed that all 3:4:5 triangles are right triangles. Using that triangle, Pythagoreans came up with the Pythagorean Theorem. He stated that the square of the hypotenuse equals the squares of the other two sides. In the 3:4:5 triangle, 5 is the hypotenuse. 3 and 4 are the legs. The angle opposite of the hypotenuse is a right angle. Since the hypotenuse squared equals the two legs squared, the equation should be: