Geometry/Chapter 4/Lesson 9

Introduction
This page will teach you about special right triangles.

30-60-90
A pattern is shown here:
 * Only if 30 is the vertex angle and 60 is the other angle apart from 90 and 30.
 * a=4, other leg=4√3, hypotenuse= 8
 * a=9, other leg=9√3, hypotenuse= 18
 * other leg=8√3, a=8, hypotenuse 16

..and so on and so forth. EXCEPT!

45-45-90
Each of these digits separated by a dash is angle degrees. The two base angles are congruently 45 while the vertex angle is 90.

So, if a= 6, then other leg is 6 and the hypotenuse 6√2... simple and easy pattern you can see here. If: ..and so on and so forth. EXCEPT!
 * a= 10, other leg= 10, hypotenuse= 10√2
 * a= 13, other leg= 13, hypotenuse = 13√2
 * hypotenuse= 9√2, other leg and a= 9
 * hypotenuse= 689√2, other leg and 1= 689