Posts Tagged ‘length’
Tuesday, September 29th, 2009
Introduction to Magnitude
Description
A detailed tutorial of how to solve for magnitude. Step by step tutorial including several examples of how to solve for magnitude for reference.
Overview
The magnitude refers to size – in mathematical concepts, what is larger? What has a greater value or quantity? This is what you look for when arranging things in order of magnitude. Several different measurements are considered to be types of magnitude – examples are volume, area, and length. Things that can be ordered by magnitude are fractions, line segments, planes, solids, and angles. Magnitude is considered to be measured only in positive, not in negative – not to say that the absolute value is taken, just that negative numbers are not included.
Tags: angles, area, arithmetic, fractions, greater, length, line segments, magnitude, Math, measurement, planes, positive, solids, value, volume
Posted in Arithmetic | No Comments »
Friday, September 18th, 2009
The Tangent Rule and Formula
Description
A detailed tutorial on solving unknown lengths and angles of a triangle using Tangent.
Overview
The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent sides. The formula for tangent is:
Tags: cosine, formula, Geometry, Inside, length, Math, rule, sine, SOHCAHTOA, tangent, triangle
Posted in Geometry | No Comments »
Friday, September 18th, 2009
The Sine Rule and Formula
Description
A detailed tutorial on solving unknown lengths and angles of a triangle using Sine.
Overview
The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. The formula for sine is:
Tags: angle, cosine, formula, Geometry, Inside, length, Math, rule, sine, SOHCAHTOA, tangent, triangle
Posted in Geometry | No Comments »
Tuesday, September 15th, 2009
An Overview of the Different Types of Triangles
Description
A detailed tutorial on the different types of triangles. Step by step tutorial including several examples of the different types of triangles for reference. Knowledge of the different types of triangles is required for all geometry classes.
Overview
Everyone knows what a triangle is, but a triangle is more than just “a triangle” – it could be one of several different types of triangles. Different types of triangles are identified by the different traits of their sides and their angles. The types are as follows:
Scalene Triangles: All sides and all angles are of different measures and lengths.
Right Triangles: One angle of the triangle is 90 degrees.
Isosceles Triangles: 2 sides and 2 angles have the same measures and lengths.
Equilateral Triangles: All side lengths are the same and all angles are 60 degrees.
Equiangular Triangles: All angles measure 60 degrees but all sides could have different lengths.
Tags: 60, 90, angle, degrees, equal, equiangular, equilateral, Geometry, isosceles, length, Math, measure, right, scalene, side, triangle
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 »
Tuesday, September 8th, 2009
How to Find the Volume of a Cube
Description
This is just a short video showing a visual display of the volue of a small cube, and a formula for that specific cube is expressed at the end. That formula can be used to derive the formulas for other cubes.
Overview
A cube is a common object – they are any 3D square object with sides all measuring equal length. This can expressed the same way as a cube, but is easier to solve.
V = l * w * h = s^3
The length, width, and height are all the same on a cube so you can simply “cube” the number, or put it the third power. This is also why we call putting things to the third power “cubing”.
Tags: area, cube, cubes, finding volume, Geometry, height, length, Math, side, square, volume, volume of a cube, width
Posted in Geometry | No Comments »
Tuesday, September 8th, 2009
How to Find the Volume of a Rectangular Prism
Description
This video explains what a rectangular prism is and then gives and explains the formula to find the volume of a rectangular prism. This video provides two sample problems with easy to understand steps and solutions.
Overview
A rectangular prism is really just a rectangle in 3D. The volume of a rectanglur prism can be expressed like this:
V = l * w * h
Where l is the length, w is the width, and h is the height. This differs from an area formula because in an area formula there is no height, only a length and width.
Tags: area, finding volume, Geometry, height, length, Math, prism, rectangle, rectangular prisms, volume, volume of a rectangular prism, width
Posted in Geometry | No Comments »
