Notes: BEFORE YOU START: This project was made with the intention of using turbowarp. Not doing so may cause things to not function properly as well as horrible graphics. https://turbowarp.org/926839279/fullscreen?hqpen&offscreen This project was made as a demonstration for my math class on medians and altitudes. The project uses +1500 blocks to render triangles, their medians and altitudes, as well as calculate things like the equations for creating the triangle's sides, or the distance between one point and another. I think it's mobile friendly. Instructions: You can move your finger or mouse around the screen to move in the map. There is also a drop-down menu on the top that gives you access to a few settings. One of the settings both computers and mobile devices have is the ability to manipulate the position of the points. There is also a button that says Advanced in case you want to put decimals or large numbers. On a computer or laptop... Use Up and Down arrow keys to Zoom in or out. Use Left and Right arrow keys to switch modes. These modes can show nothing (default), the triangle's medians and the centroid (mode 1), or the triangle's altitudes and orthocenter (mode 2). Use Space to toggle the Display. Use R to reset your view. On a phone or tablet... Click on the button that says Mobile in the drop-down menu to tell the project that you will be using the mobile version. From there, a few things will appear. The Reset button is one of them, and is able to reset your view. 2 new sliders also appear, them being the mode and cam zoom variables. Information: Lesson 5 - 2 : Medians & Altitudes of Triangles. 1) What is a Median? The median of a triangle can be thought of as a line segment connecting the vertex of a triangle to the midpoint of the side opposite of that vertex. A triangle has 3 medians, all 3 converging at 1 point called the centroid. There is also a theorem associated with this, that states that the centroid is always 2/3 the distance from each vertex to the midpoint of the opposite side. I also recently discovered that there is a formula for the centroid of a triangle. The formula goes as follows: (((x1+x2+x3)/3),((y1+y2+y3)/3)) Closely resembling the formula for the midpoint of a line, x1, x2, & x3 represent the x-coordinates of the points, while y1, y2, & y3 represent the y-coordinate of the points. 2) What is an Altitude? An altitude of a triangle can be thought of as a line that runs through one vertex of a triangle and is perpendicular to the side opposite of the vertex. Like the medians of a triangle, there are 3 altitudes, each converging at a single point called the orthocenter. This orthocenter cannot be obtained directly through the means of a formula, and can lie on the interior, exterior, or side of a triangle. Ngl I think this brief explanation is confusing.
