Altitude to the Hypotenuse of a Right Triangle

 

Geometric Mean

x is the geometric mean of two numbers.

 

 

 

xab

 

Theorem:  The length of the altitude drawn the hypotenuse of a right triangle is the geometric mean of the lengths of the two segments of the hypotenuse.

 

Mr. Green Theorem:

 

 

 

Theorem:  The length of the leg of a right triangle is the geometric mean of the entire hypotenuse and the segment of the hypotenuse adjacent to the leg

 

Mr. Green Theorem: