iShortcut Geometry Vol. 2: Triangles

All too often students memorize concepts without fully understanding how they work. This method of learning is often frustrating and unsatisfying. IShortcut is different.

IShortcut simplifies fundamental concepts in Geometry by providing a range of interactive diagrams, illustrations, and figures. After each lesson, test your knowledge with review questions. 


Don’t struggle reading lengthy explanations. Learn by engaging with interactive diagrams. Each diagram gives you the ability to manipulate visuals. As you transform the visual, you can see how variables, and triangles change. After using this system, you’ll have a strong understanding of these essential concepts. Try the sample and see the difference!


If a picture is worth a thousand words, then an interactive diagram is worth a thousand pictures. Don’t waste time trying to visualize the concept in your head. Simply engage with this system and master geometry. 


The book is separated into five sections and a appendix:

1) Types

What is  a Triangle

Sum of angles in a Triangle

Exterior Angle Theorem

Angle to Length Relationship

Triangle Classification


2) Pythagorean and Inequality Theorem

Pythagorean Theorem

3-4-5 Triangle

5-12-13 Triangle

45-45-90 Triangle

30-60-90 Triangle

Inequality Theorem

Inequality Theorem (Negative)


3 ) Area and Perimeter

  Perimeter of Triangle

Basic Area of Triangle 

Area of Equilateral Triangle

Heron's Formula


4) Similarity

Ratio of Sides of Triangle

Formula for Ratio of Area of Triangle


5) Using Algebra

Sum of Angles

Using Pythagorean

Using Exterior Angle Theorem


6) Appendix

Exponent

Square Roots


This is the second volume of a five volume series on Geometry. 

a) Lines and Angles

  b) Triangles

c) Polygons

d) Circles

e) Cylinders, Cones, and Spheres