Right triangle

in a Triangle Definition of sinα in a Triangle is the following statement: For any acute angle α, we draw a right triangle that includes α. The sine of α, abbreviated sin α, is the ratio of the length of the opposite this angle to the length of the hypotenuse of the triangle. If we simplify we get a formula which says: It is shown in a diagram below. We can see immediately that this definition has a weak point. It does not tell us exactly which right triangle to draw. There are many right…

their physiques, the skirts create a strong core that allows for a slightly altered pose without the threat of instability. This makes her strong and grounded, but not weighed down or heavy. She stands with her weight slightly shifted to sit in her right hip, which brings the viewer to look up the figure. Her face appears serene, staring out with a soft gaze. The flowing fabric and tranquil expression create a general feeling of gentleness and calm about her. Faustina the Elder is comprised…

relate it to the area of a triangle, but later acquired the fact that the side length and height of an isosceles triangle cannot be equivalent, which meant that the area of a triangle would not fit this image. Figure 2 Created in Microsoft Paint In Figure 2, I have attempted to display an isosceles triangle to put in place of the swimmer's legs. In this image, the swimmer’s legs are represented by the side length r, along with the height of the isosceles triangle being represented with h.…

We can easily convert this into Cartesian form by replacing z by x+iy |(x+iy)-(-3 +2i)|=5 |(x+3) + i(y-2)|=5 √(〖(x+3)〗^2+〖(y-2)〗^2 ) =5 or 〖(x+3)〗^2+〖(y-2)〗^2=25 Which is the exact form of a Cartesian equation of a circle with a center of (-3, 2) and a radius of 5 We could check if a particular point lies on the circle Ex. z2=1-3i Substituting into the equation of the circle, with z replaced by z2=1-3i |(1-3i) - (-3 + 2i)|=5 |4-5i|=5 √(4^2+〖(-5)〗^2 ) =5 41=5, which is not true, thus z2 does not…

While it is necessary to delegate different tasks to team members, leaders also possess the responsibility of their team as a whole. While my Robotics team was revising our robot for the VEX Robotics Mid-Atlantic Championships, I made sure to keep track of the team’s progress in the engineering notebook, as well as supervise the work of my fellow team members. At Governor’s School, I will make sure to collaborate and contribute ideas, as well as provide leadership skills such as guidance,…

The theorem used to find the hypotenuse, adjacent, or opposite sides of a triangle is also used in Euclidian Geometry. “A” squared plus “B” squared equals “C” squared is the formula used in the theorem. For example, we are given two numbers in the sides of a triangle; if we are given the adjacent and opposite sides, and we must figure out the hypotenuse, we will be required to use the Pythagorean Theorem. The two numbers…

non-degenerate triangle then due to Euler we have an Inequality stated as and the equality holds when the triangle is equilateral. This ubiquitous inequality occurs in the literature in many different equivalent forms [4] and also Many other different simple approaches for proving this inequality are known. (some of them can be found in [2], [3], [5], [17], and [18] ). In this article we present a proof for this Inequality based on two basic lemmas, one is on the fact “Among all the pedal’s…

in the Bermuda Triangle? Ships have vanished without a trace and aircraft disappear with no sign of where they went. There have been countless cases where aircraft and boats have shown no signs or radioed that they were in distress. Boats have showed up without any crew members and there is no damage to the boat. There have been many possible reasons that have surfaced in recent years. From scientific reasons to conspirators believing it is the work of aliens, the Bermuda Triangle is a puzzle…

Known as one of the strangest places on earth, the Bermuda Triangle holds many mysteries that go unexplained. Nicknamed the ‘Devil 's Triangle”, the Bermuda Triangle got its name from being located in the center of three islands that form the shape of a triangle. There have been over thousands of ship and plane disappearances, like the disappearance of those 5 bomber planes. Why have they never found wreckage or bodies? What happened to the ships or even the people? These are some questions no…

you guys heard of the different theories written about the Bermuda Triangle where pilots lost their time, direction, even their crew, and ways of communication. I wonder which theory you will believe after I finish my speech. B. The Bermuda Triangle is one of the most mysterious places in the world causing the disappearances of ships and planes without an accurate theory till today. C. Thesis Statement: The Devil 's Triangle is a mysterious phenomenon with various theories…