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Hope this video helps out in Math class.
In this video you will learn.
Definition of Complementary Angles
How to determine if an angle is complementary or a supplementary angle.
A sample problem involving complementary angles
Definition of a supplementary angle
For more information please see Complementary Angles
The goal of this post is to give you several methods for finding the area of a triangle and a video that goes with each method. The method used to find the area is based on the information you are given.
If you know the Base and Altitude use half base times height
If you don’t know the altitude use Heron’s formula
If you know Two sides and included angle use Side Angle Side ( SAS)
If you know X and Y vertices of the corners use Box Method
If you know Triangle is equilateral use Equilateral Triangle Area
If you know Triangle is isosceles use ½ base times height
Video Half base * height
For even more information on finding the area of a triangle please see.Finding the area of a triangle
The goal of this post is to give you several methods for finding the area of a triangle and a video that goes with each method. The method used to find the area is based on the information you are given.
If you know the Base and Altitude use half base times height
If you don’t know the altitude use Heron’s formula
If you know Two sides and included angle use Side Angle Side ( SAS)
If you know X and Y vertices of the corners use Box Method
If you know Triangle is equilateral use Equilateral Triangle Area
If you know Triangle is isosceles use ½ base times height
Video Half base * height
For even more information on finding the area of a triangle please see.Finding the area of a triangle
Finding area of plane figures
Area is the space covered in a flat, 2-dimensional plane inside a bounded region. Think of area in terms of painting a wall. The area of plane shapes is the amount of units squared that can fit inside the shape. It is measured in units squared.
When finding the area of plane figures you need specific measures. One of the greatest lessons for students is deciding what information they have given and which formula they need to use to find the area of the plane figures.
Area can also be found on a coordinate plane using order pairs to find necessary dimensions.
You can access videos and informational pages for each of the plane shapes on our area of plane figures formula page. The following plane figures are covered.
Triangles
Circle
Trapezoid
Parallelogram
Rectangle
Square
Rhombus
Also, for most of the plane figures I have a calculator that calculates area, diagonal length, and volume for each of the plane figures. Here is a link to Math calculators
Plane Shapes
What is a plane shape? A plane shape is a closed, two-dimensional shape. Plane shapes vary according to the numbers of sides or vertices. A vertex is where two sides meet. If a draw a line from two vertices that are not next to each other this line would be called a diagonal.
There are many plane shapes and here is a list of several common plane shapes.
A triangle is a plane shape with three sides and three vertices. Here is a list of some common triangles.
Scalene triangles have three different side lengths and three different angle measures
Isosceles triangles have at least two equal sides and two equal angle measures
Equilateral triangles have equal sides and angles.
A rectangle is a shape with four sides and four vertices
A square is a rectangle in which all four sides are of equal length and create four ninety degree angles.
A circle is a round shape that has no sides or corners.
A parallelogram has four sides, four vertices, and two parallel sides.
A quadrilateral is a plane shape with four sides, four vertices, and two diagonals. There are many types of quadrilaterals and check here for a chart of the quadrilateral family.
A rhombus has four sides, four vertices, and four equal sides.
A trapezoid has four sides, four vertices, and exactly one pair of parallel sides.
Polygons are plane shapes classified by the number of sides. The number of sides and vertices are equal in polygons.
Classifying polygons by the number of sides
3 triangle
4 quadrilateral
5 pentagon
6 hexagon
7 septagon
8 octagon
9 nonagon
10 decagon
12 dodecagon
n n-gon
In this video you will....
Look at common triples associated with the pythagoren theorem
How to use common triples to find a missing leg of a right triangle
Examples of common triples that are frequently seen in Geometry
Hi welcome to MooMooMath. Today we are going to look at common triples which are associated with the Pythagorean Theorem. Here is a common triple., a three, four, five which works in the Pythagorean theorem because 3 squared ( 9 ) plus four squared ( 16 ) equals 5 squared ( 25 16 + 9 equals 25 ) so we have the numbers three. Four and five which are a common triple. In the Pythagorean Theorem. Below it is a triangle with a side of 6 and a hypotenuse of 10 and an X as the unknown side of X if you will notice this shows you a common triple. So three and 6 are associated with each other so they are corresponding sides and if I double 3 I get 6 and if I double 5 I get 10. Therefore if I double 4 I get 8 so the missing side is 8 so this is just applying the Pythagorean Theorem triple to an actual problem. So what are the actual rules for doing this? So what you will do is take your common triplets and multiple each number by the same factor. So we have a three, four, and five and in the example we multiplied each side by two to get a six, eight, ten triangle. You can also go back and multiple 3, 4, 5 by three and get 9, 12. and 15. You get do that with 4 10 or a 40, 50 right triangle. So what are the common triples? Let me show you several of the common triples you will see. 3, 4, 5 and multiples of those. A 5, 12, 13 is also a common triple. Because 5 squared plus 12 squared equals 13 squared. 25 plus 144 equals 169. Here are three more common triples 7, 24, 25 the 8, 15, 17 and the 20, 21, 29. So those are common triples you can take and multiple by sides by common factors. So you can see how this is done. Since I showed you the 3, 4, 5 triple first this time I will use the 5, 12, and 13. So if I were to make a table of possible values I will just draw the 5, 12, and 13 on top and make a list. If I multiple by two I get 10, 24, and 26. And multiple by three I get 15 26, 39 and by 4 I get 20 48 and 52 and those would be our common triples of 5, 12, 13. Hope this was helpful
Check out our new math resource page. I designed the resource page to be helpful for teachers and students. I currently teach Math at a public high school, and tried to think through what would help the teachers I work with, and the students I teach. Next, went blog stalking and checked out all the blogs of good teachers I know and tried to find out resources that they had attached to their blog. Here is a list of resources I hope will help you in your Math class.
First, I have a long list of applets. Applets are a graphical approach to math concepts. They are good for demonstrating algebraic, geometry, and calculus concepts. I tested each applet and made sure they worked.
Graph paper
I included five or six links to free graph paper. Some sites you can design the graph paper you want.
Calculators
I have several links to different types of online calculators. Some of the calculators are basic, other are scientific or graphing calculators.
Calculator Shortcuts and Instruction
I have a long list of short cuts, manuals, and instructions for the TI83, TI84, and the TI89. I tried to find sites that had pictures and illustrations
Classroom Help
These resources include many links that will help the student and teacher with projects, presentations, and other creative ways to present material. I work with a great and award winning media specialist and these are sites she recommends.
Math Sites
I found several sites that just have an amazing number of math links and resources. In fact one site has over 1000 links to work sheets, and lessons on math concepts.
Math Gift Shop
I have links to Math T-shirts, coffee mugs and other math related items that every math teacher or student would love to have. Even if you hate math you can always get your favorite math teacher a gift.
Please check out our Math Resource page here. Thanks and if you like it please share it with your friends.
