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KCC's Quizzes AQQ290 about a triangle coming from the Hell

		
	
				

			

									
					    KCC
					
							

            
            			
				
									
											
			
			
				
  •  Analog Employees  

			
			
			    	
			                    
                
				                on Aug 22, 2025 
				
			
			
		

		
		                     
				
        		

		    
		    		    
		    			

			    
So, after a long (and deserved) summer vacation, we can suppose your brain is now fully energized and ready to tackle complex problem! 


OK, I know the 2 famous laws about vacations!


1. Vacations are always too short (even if you had 4 weeks)!


2. They always occur in wrong moments (i.e. you were disturbed by any kind of urgencies).


1. First, the quote of the week: "People often say that motivation doesn't last. Well, neither does bathing - that's why we recommend it daily" - Zig Ziglar


                                                         


                                             Source: encrypted-tbn0.gstatic.com/images


2. New challenge: it's a geometry problem, about a triangle that comes from hell... Be careful, there is a trap...


                        


A right triangle has a hypothenuse of 10 cm and an altitude to the hypothenuse of 6 cm.


Question: What is the area of the triangle ABC?




Good luck! And try to be among the first ones!


Also, don't hesitate to share such quizzes with colleagues or friends!

			

			
									
		                             
                        

    

                                            
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                on Aug 25, 2025 1:39 AM
            
            
						
			            		
      
		
								
	
      

		
		
      
		
      
                                
                                                            
      
					
      This right angle triangle can not exist, since the height must always be less than half the hypotenuse.
      This is one conclusion from Thales' theorem (=> the height must be equal or less the radius).
      Put simply, it states that all triangles inscribed in a semicircle are right-angled.

      But anyway: If you forget the requirement "right angle" and assume a general triangle, the area is half the product of base and height:
      A = 0.5 * 6cm * 10cm = 30cm^2
      
			
      

		
			
	      

		
		
	
      
	
      
		
      
			
		
      
	
      
	
      
		
						
				
				
						
				
				
		
		
      
			
		
      
	
      

      

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                on Aug 25, 2025 1:39 AM
            
            
						
			            		
        
		
								
	
        

		
		
        
		
        
                                
                                                            
        
					
        This right angle triangle can not exist, since the height must always be less than half the hypotenuse.
        This is one conclusion from Thales' theorem (=> the height must be equal or less the radius).
        Put simply, it states that all triangles inscribed in a semicircle are right-angled.

        But anyway: If you forget the requirement "right angle" and assume a general triangle, the area is half the product of base and height:
        A = 0.5 * 6cm * 10cm = 30cm^2
        
			
        

		
			
	      

		
		
	
        
	
        
		
        
			
		
        
	
        
	
        
		
						
				
				
						
				
				
		
		
        
			
		
        
	
        

        

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