Tuesday, November 10th, 2009
How to Find the Opposite and Adjacent Sides of a Triangle
Description
A detailed tutorial on how to find the opposite and adjacent sides of a triangle. Step by step tutorial including several examples of finding the opposite and adjacent sides of a triangle for reference.
Overview
When using SOHCAHTOA, you will often see something such as “find the opposite side” or “find the adjacent side.” Unlike the hypotenuse, the opposite and adjacent sides change depending on what angle you are working with. The right angle is found opposite the hypotenuse and you will never be working it. Tip your triangle so that your right angle is balanced across the bottom and left, and your hypotenuse crosses the right. You will be working with the angles on the top and on the bottom right. The adjacent side is one of the sides that forms your angle – one of which is the hypotenuse, so it is the other side. And to find the opposite side, draw a straight line from your angle. The line it crosses should be the one directly across from your angle, and it is the opposite side.
Tags: adjacent, angle, cosine, hypotenuse, opposite, pythagorean theorem, side, sine, SOHCAHTOA, tangent, trig, trigonometry
Posted in Trigonometry | No Comments »
Friday, September 25th, 2009
Four-Color Theorem Explained
Description
A detailed tutorial on the four-color theorem. Step by step tutorial including several examples of the four-color theorem for reference.
Overview
The four-color theorem is a concept in math that states that given any seperation of a plane into seperate regions, the regions can be colored in using at the most four colors so that no two adjacent regions have the same color. These planes are called maps, and in fact a real map is an example of one. In order for two regions to be adjacent, they must share a side. If they share a point they are not considered adjacent.
Tags: adjacent, color, four, four color map theorem, four-color, four-color theorem, Geometry, map, Math, planes, point, regions, seperate, side, theorem
Posted in Geometry | No Comments »
Friday, September 11th, 2009
How to Use SOHCAHTOA
Description
A detailed tutorial on the solving of SOHCAHTOA. Step by step tutorial including several examples of how to solve SOHCAHTOA problems for reference.
Overview
SOHCAHTOA, often spaced out to spell SOH-CAH-TOA, stands for Sine = Opposite/Hypontenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent. You use it with an angle to help solve for the sine, cosine, or tangent of that angle. What Opposite, Adjacent, and Hyptonuse stand for are the sides of a triangle – the side exactly opposite your angle, the hypotenuse, and the third non-hypotenuse side that is next to your angle. Because of this, SOHCAHTOA can only be used with a right triangle. The values for opposite, adjacent, and hypotenuse are the length of the side of the triangle it stands for. It is not necessary to know the measure of the angle before using SOHCAHTOA.
Tags: adjacent, angle, cosine, Geometry, hypotenuse, length, Math, opposite, right triangle, side, sine, SOH-CAH-TOA, SOHCAHTOA, tangent, triangle, trigonometry
Posted in Geometry, Trigonometry | No Comments »
