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Monday, December 15, 2014

Square, Rectangle, and Parallelogram Problems, 13

Category: Plane Geometry, Trigonometry

"Published in Newark, California, USA"

From the given figure, find A + B C. 

Photo by Math Principles in Everyday Life

Solution:

Consider the given figure above

Photo by Math Principles in Everyday Life

Since the given figure is a rectangle that consists of three squares, then we can solve for the values of A, B, and C by using basic trigonometric functions. The given diagonals are the hypotenuses of a square and two rectangles, respectively. 

The value of C is
 
 
 
 

The value of B is
 
 

 
 

The value of A is
 
 
 
 
 

Therefore,