Posts Tagged ‘angles’
Thursday, November 12th, 2009
How to Identify Pythagorean Triples
Description
A detailed tutorial on Pythagorean triples. Step by step tutorial including several examples of Pythagorean triples for reference.
Overview
A Pythagorean triple is a set of three numbers that make up a right triangle. They are the measure of the sides, not the measure of the angles. This you should know by looking at the name. The Pythagorean theorem deals with only the sides of the right triangle, so Pythagorean triples should also only deal with the sides of a right triangle. All the numbers must be integers, and they must be positive. They are written rather like coordinates are, in a (a, b, c) pattern. A common example is is (3, 4, 5). From any triple, any other triple can be found. If (a, b, c) is a triple, then (ka, kb, kc) also must be a triple, according to the rule of similar triangles.
Tags: angles, Geometry, integer, measure, multiple, number, positive, pythagorean, right, sides, similar, theorem, three, triangle, triples
Posted in Geometry | No Comments »
Friday, October 2nd, 2009
Identifying Subtended Angles
Description
A detailed tutorial on identifyinf subtended angles. Step by step tutorial including several examples of how to identify subtended angles for reference.
Overview
A subtended angle normally refers to an angle that is subtended by an arc. This means that the rays that make up the angle pass through the endpoints of the arc. It could also mean that an angle’s vertex point is point on the circumference of a circle. The definition typically varies a little, depending on context. Another form of a subtended angle is when a solid object subtends a solid angle.
Tags: angles, arc, circle, circumference, endpoint, Geometry, Math, ray, solid, subtended, subtends, vertex
Posted in Geometry | No Comments »
Friday, October 2nd, 2009
Identifying the Cofunction
Description
A detailed tutorial on identifying the cofunction. Step by step tutorial including several examples of how to identify the cofunction for reference.
Overview
In math, we say that a function f is a cofunction of a function g if f(A) = g(B), and A and B are complimentary angles. Cofunctions are very often used with trigonometric functions like sine, cosine, and tangent. If you write a function in terms of its cofunction, it can make it easier to solve certain equations.
Tags: angles, cofunction, complimentary, cosecant, cosine, cotangent, function, Math, secant, sine, tangent, trigonometric function, trigonometry
Posted in Trigonometry | No Comments »
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 »
Tuesday, September 29th, 2009
Identifying Reflexive Angles
Description
A detailed tutorial on identifying reflexive angles. Step by step tutorial including several examples of how to identify reflexive angles for reference.
Overview
Reflexive angles are angles that are facing in the wrong direction – another common term for them is a negative angle. An angle is really from a circle, and a circle is 360 degrees around. Let’s just say you draw a 30 degree angle. There is a negative angle that is along the flip side of it – a 330 degree angle. This angle is called reflexive not because it is an opposite angle, but because it is over 180 degrees and less than 360 degrees. So to identify a reflexive angle, remember it must be less than the full circle, but cannot be stretched out to a straight line (on a visual representation).
Tags: 180, addition, angle, angles, complimentary, degrees, Geometry, Math, negative, reflexive, sums, supplementary
Posted in Geometry | No Comments »
Tuesday, September 29th, 2009
Identifying Supplementary Angles
Description
A detailed tutorial on identifying supplementary angles. Step by step tutorial including several examples of how to identify supplementary angles for reference.
Overview
Supplementary angles are angles which have the sum of their measurements add up to 180. If the two angles are adjacent, they should form a straight line, since 180 degrees has no true angle. Examples would be two 90 degree angles (right angles), or a 120 degree angle and a 60 degree angle. You can identify supplementary angles by adding up their measurements. If the answer is 180, the angles are supplementary.
Tags: 180, addition, angle, angles, complimentary, degrees, Geometry, Math, sums, supplementary
Posted in Geometry | No Comments »
Tuesday, September 29th, 2009
Identifying Complimentary Angles
Description
A detailed tutorial on identifying complimentary angles. Step by step tutorial including several examples of how to identify complimentary angles for reference.
Overview
Two angles are considered complimetary if their sum adds up to 90. For example, angles measuring 60 degrees and 30 degrees would be complimentary, as would two angles both measuring 45 degrees. You can identify a complimentary angle by adding up the degrees. If the result is 90, then the angles are complimentary.
Tags: 90, addition, angle, angles, complimentary, degrees, Geometry, Math, sums, supplementary
Posted in Geometry | No Comments »
Tuesday, September 15th, 2009
All About 30-60-90 Triangles
Description
A detailed tutorial on the solving of 30-60-90 triangles. Step by step tutorial including several examples of how to solve 30-60-90 triangles for reference.
Overview
A 30-60-90 triangle is a special type of right triangle. The 30-60-90 refers to the measure of the angles of the triangle. This triangle is special because if you take two of them, flip one of them over, and place the triangles back to back, then you have an equilateral and equiangular triangle – triangles that have sides and angles all of the same length.
Tags: 30, 30-60-90, 60, 90, angles, equal, equiangular, equilateral, Geometry, Math, right, sides, triangles
Posted in Geometry | No Comments »
Tuesday, September 15th, 2009
All About 45-45-90 Triangles
Description
A detailed tutorial on the solving of 45-45-90 triangles. Step by step tutorial including several examples of how to solve 45-45-90 triangles for reference.
Overview
A 45-45-90 triangle is one of the few special triangles that the angles are always the same on – the 45-45-90 part refers to the measurement of the angles. A 45-45-90 triangle is special because it is the only right triangle where the other two angles are equal. Because the angles are equal, this also means that those sides are of equal lengths.
Tags: 45, 45-45-90, 90, angles, equal, Geometry, Math, right, sides, triangles
Posted in Geometry | No Comments »
Tuesday, September 15th, 2009
Introduction to Similar Triangles
Description
A detailed tutorial on the introduction to similar triangles. Step by step tutorial including several examples of how to solve similar triangles for reference.
Overview
Similar triangles are triangles that have the exact same angles, although the lengths of the sides may be different. This is what makes them similar, and not equal. However, the sides do correspond. Corresponding sides are sides that are opposite the same angle – meaning angles that have the same measure. Something that can help you find out the missing lengths of a similar triangle is that the ratios are always the same. As long as you have all the lengths of the sides of the other triangle, you will always be able to find the missing lengths.
Tags: angles, corresponding, corresponding sides, Geometry, lengths, Math, ratios, similar, similar triangles, triangle
Posted in Geometry | No Comments »
