​The Pythagorean Theorem and 30-60 Right Triangles

About Geometry Worksheet Assignment 7.9:     

 

Assignment 7.9 is the development of theorems relating the lengths of sides in right triangles with acute angles measuring 30 and 60.

 

Prerequisite Skills:  Apply the Pythagorean Theorem to find lengths of sides in right triangles (Assignment 7.3).

 

Theorems:   In a 30-60 right triangle, the length of the short leg is equal to one-half the length of the hypotenuse.

                           In a 30-60 right triangle, the length of the long leg is equal to the length of the short leg multiplied by    3   .