Pythagorean theory
Subject:
a squared plus b squared equals c squared, this is use to find missing sides of a triangle c= hypotenuse or the longest leg
Geometry
pythagorean theorem
Subject:
a^2+b^2=c^2
Pythagorean Theorem
Pythagorean Theorem
Algebra Sin, Cos, and Tan
Subject:
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:
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:
Tags:
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.
Pythagorean Theorem
Subject:
(c^2)=(a^2)+(b^2)
Geometry
Geometry ? a Greek term meaning ?measure of the earth? Geometry is concerned with questions of size, shape, and relative positions of figures. The ancient Greek mathematician Euclid applied rigorous logic to the properties of Geometry and created an axiomatic system. Axiom ? self-evident truth that provides a starting point for deductive reasoning; sometimes called a ?postulate? Euclid was so influential that his textbook Elements was taught for over two millennia. What we study is called ?Euclidean Geometry.? There is also non-Euclidean Geometry, which is beyond the scope of this course.
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Geometry
Subject:
Tags:
Geometry Notes ~Reflectional Symmetry -When a shape is folded in half and both sides match perfectly. ~Line of Symmetry -line where you can fold it ~Perimeter -the distance around its exterior on a flat surface. ~Area -the number of square units needed to fill up a region on a flat surface. ~Acute Angle -Any angle with a measure between 0 degrees and 90 degrees ~Right Angle -Any angle that measures 90 degrees ~Obtuse Angle -Any angle with a measure between 90 degrees and 180 degrees ~Straight Angle -Angle that has a measure of 180 degrees and are formed when the sides of an angle form a straight line. ~Transformation 1) Translation: A transformation that?s shape and size stays the same while sliding it to a new location.
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