Cheatography
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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 |
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Circles
Circumference |
π * Diameter |
Circumference |
2 π Radius |
Area |
πr2 |
Radian |
the length of the arc on the unit circle |
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180° = π radians |
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1° = π/180 |
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(degrees) π/180 = radians |
Unit Circle |
has a radius of 1 and centered on a coordinate plane |
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Square Roots √
Quotient Property of Square Roots |
√a/√b = √a/b |
√1/4 = 1/2 |
√-x |
not a real number |
-√x |
real number |
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