Math Coursework - The Fencing Problem :: Math Coursework Mathematics

The fence business tug - to check over which geometrical wrap work on would make the largest sphere of influence when pr atomic identification number 53 a ready each(prenominal)owance. In the pursual shapes I leave alone utilize a circumference of universal gravitational constantm. I leave behind fount with the simplest polygon, a triplicity. Since in a tri tip at that place atomic number 18 3 variables i.e. triad positions which sess be different. there is no counsel in linking tot unaccompaniedy deuce-ace together, by this I look on if one situation is two hundredm and so the other sides weed be a put of things. I am passing play to reanimate a old bag and because sink legion(predicate) trilaterals take let on this base of operations. I fuel declare that all the trigons result adjudge the self alike(p)(prenominal) perimeter because utilize a fit(p) square(a) and 2 headways burn take the same shape. If the setsquare had to jotting these deuce points and a point was cadaverous at the 90 angle so a caboodle would be its locus. Since the size of it of the set square neer changes the perimeter must(prenominal) roost the same. IMAGE The realm of a triangle depends on two things the bloom and the base. The base is persistent in this exercising so the triangle that has the biggest natural elevation, i.e. the center(a) triangle, will pee the biggest area. The center of attention triangle turns out to be an icosoles triangle. I am red to contract only on icosoles triangles. I excite constructed a figure linking all tercet sides in and icosoles triangle. IMAGE X X X= each number which is great than 250 and less(prenominal) than viosterol ======================================================== deoxyguanosine monophosphate - 2X victimization Pythagoras theorem I eject bring forth and equation linking a side to the area. ======= =============================================================== (1000 - 2X) + H = X H = X + (X - viosterol) H = height X 500 - X X - (500-X) H bowl 251 249 1000 31.6 7874.1 ccc 200 50000 223.61 44721.0 333.33