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Personal Math 26 Unit 1 Cheat Sheet (DRAFT) by

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
(leg * leg) / 2
Pythag­orean Theorem
leg2 + leg2 = hypotenuse2
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


π * Diameter
2 π Radius
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
not a real number
real number