AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Triangle

Geometry notes

Subject: 
Geometry
Rating: 
0
No votes yet
SocialTags: 
Triangle geometry
Triangles
Triangle

Lesson 3.02 KEY Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE or DRAWING Objective After completing this lesson, I will be able to __________________________________________ Proving Congruency (P2) To prove congruency in two triangles you need _____________________, or parts that match up with one another; the parts have to match up, and ____________ of the parts matters. CORRESPONDING Parts (P3) The CORRESPONDING parts are the ones that match up with one another. THREE Congruent Parts (P4) Triangles must have at least THREE congruent parts for them to be considered CONGRUENT SSS (P5) Side?Side?Side Postulate If all three sides are congruent to all three sides of another triangle, then the two triangles are CONGRUENT SAS (P7)

Geometry notes

Subject: 
Geometry
Rating: 
0
No votes yet
SocialTags: 
Geometry
Triangle geometry
Euclidean geometry
Triangles
Triangle
Elementary geometry
SSS postulate
AA postulate
Technology
Tags: 
Triangles

Lesson 3.03 KEY Main Idea (page #) DEFINITION OR SUMMARY EXAMPLE or DRAWING Objective After completing this lesson, I will be able to: construct congruent triangles explain why the constructed triangles are congruent Constructing Congruent Triangles (P1-2) Congruent triangles may be constructed by hand using a COMPASS and STRAIGHTEDGE. Congruent triangle may also be constructed using computer technology such as GEOGEBRA. Constructing Congruent Triangles based on S-S-S Postulate (P3) ?ABC is congruent to ?DEF because segment f was constructed with the same length as segment b. Segment e was constructed with the same length as segment c, and segment d was constructed with the same length as segment a. By the SIDE-SIDE-SIDE postulate, ?ABC ?DEF.

Triangle Properties

Subject: 
Geometry
Rating: 
0
No votes yet
SocialTags: 
Triangles
Triangle geometry
Triangle
Mathematics
Dimension
Triangle properties Vertex The vertex (plural: vertices) is a corner of the triangle. Every triangle has three vertices. Base The base of a triangle can be any one of the three sides, usually the one drawn at the bottom. You can pick any side you like to be the base. Commonly used as a reference side for calculating the area of the triangle. In an isosceles triangle, the base is usually taken to be the unequal side. Altitude The altitude of a triangle is the perpendicular from the base to the opposite vertex. (The base may need to be extended). Since there are three possible bases, there are also three possible altitudes. The three altitudes intersect at a single point, called the orthocenter of the triangle. See Orthocenter of a Triangle.

Algebra Sin, Cos, and Tan

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Geometry
Triangles
Elementary mathematics
Trigonometry
Elementary geometry
Triangle geometry
Right triangle
Hypotenuse
Triangle
Sine
Right angle
Adjacent
A right-angled triangle is a triangle in which one of the angles is a right-angle. The hypotenuse of a right angled triangle is the longest side, which is the one opposite the right angle. The adjacent side is the side which is between the angle in question and the right angle. The opposite side is opposite the angle in question. In any right angled triangle, for any angle: The sine of the angle = the length of the opposite side the length of the hypotenuse The cosine of the angle = the length of the adjacent side the length of the hypotenuse The tangent of the angle = the length of the opposite side the length of the adjacent side So in shorthand notation:

Triangles

Subject: 
Geometry
Rating: 
0
No votes yet
SocialTags: 
Geometry
Triangles
Euclidean geometry
Triangle geometry
Euclidean plane geometry
Triangle
Equilateral triangle
Special right triangles
There are 3 types of triangles including isosceles, scalene,and equilateral triangles. Triangles can be obtuse, acute, or right triangles. Some special measurements of a triangle are 30-60-90 and 45-45-90 triangles. Different ways can be used to find missing side lengths and angle measurements.

Sin Cos and Tan

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Geometry
Triangles
Trigonometry
Triangle geometry
Elementary geometry
Triangle
Right triangle
Hypotenuse
Tags: 
Sin Cos Tan
In a right triangle where theta is given and a side is given you can solve for anything. To solve for the hypotenuse use the phrase SOH CAH TOA. If the angle and the opposite are given use opposite side divided by sin of the angle. and vice versa for all other sides and angles. Soh cah toa stands for Sin opposite over Hypotenuse Cosin adjacent over hypotenuse Toa opposite over adjacent all of these are with respect to theta.

Why triangles are equilateral!

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Geometry
Triangles
Triangle geometry
Triangle
Euclidean geometry
Metric geometry
Technology
Because they are triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC. In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space).

Inverses of Trigonometric Ratios

Subject: 
Algebra
Rating: 
0
No votes yet
SocialTags: 
Geometry
Triangles
Mathematics
Euclidean geometry
Triangle geometry
Trigonometry
Euclidean plane geometry
Triangle
Trigonometric functions
Special right triangles
Right triangle
Ratio
Inverses of Trigonometric Ratios You've learned how to use trig ratios to solve right triangles, finding the lengths of the sides of triangles. But what if you have the sides, and need to find the angles? You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse trig" values are all about. If you look at your calculator, you should see, right above the "SIN", "COS", "TAN" buttons, notations along the lines of "SIN–1", "COS–1", and "TAN–1", or possibly "ASIN", "ACOS", and "ATAN". These are what you'll use to find angles from ratios.

Pages

Subscribe to RSS - Triangle

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!