The figure below shows a triangle ABC with circumradius = 2.7. Angles ABD, 
	  BCE, and CAF are congruent so that D, E, and F are on AF, BD, and CE, 
	  respectively. If the area of triangle DEF is 1.02 and its circumradius is 
	  0.9, find the area of triangle ABC.
 


See also: Typography and poster of problem 1408.
Geometry Problems
		
		Ten problems: 1411-1420
	  Visual Index
Open Problems
All Problems
              
		                
						Triangle
 
              
		                
			Area
              
		                
			
			Triangle Area
         
			        
			
				Angles
                
		                
			
			Similarity, Ratios, Proportions
 
              
		                
			Circle
              
		                
			
			Circumcircle
              
		                
									View or Post a solution