Cheatography

# Personal Math 26 Unit 1 Cheat Sheet (DRAFT) by hotwire

Personal notes for Math 26.

This is a draft cheat sheet. It is a work in progress and is not finished yet.

### Right Triangles

 Properties of Triangles (1) the sum of the angles equals 180° AND (2) the combined length of any two side exceeds that of the third side AND (3) larger angles are opposite larger sides Area (leg * leg) / 2 Pythag­orean Theorem leg2 + leg2 = hypotenuse2 SOHCAHTOA Sine Opposite Hypote­nuse, Cosine Adjacent Hypote­nuse, Tangent Opposite Adjecent Special Triangles angles = 45-45-90 OR 30-60-90 45-45-90 Triangle (1) the two legs are equal AND (2) the hypotenuse is √2 times the length of either leg 30-60-90 Triangle (1) the longer leg is √3 times the length of the shorter leg AND (2) the hypotenuse is 2 times the length of the shorter leg Acute Triangle contains three acute angles Obtuse Triangle contains exactly one obtuse angle Equila­teral Triangle contains three side of equal length Isosceles Triangle contains two sides of equal length Scalene Triangle Contains no two sides are of the same length Similar Triangles when corres­ponding angles are equal, then corres­ponding sides are propor­tional

### Circles

 Circum­ference π * Diameter Circum­ference 2 π Radius Area πr2 Radian the length of the arc on the unit circle 180° = π radians 1° = π/180 (degrees) π/180 = radians Unit Circle has a radius of 1 and centered on a coordinate plane

### Square Roots √

 Quotient Property of Square Roots √a/√b = √a/b √1/4 = 1/2 √-x not a real number -√x real number