In the square pyramid shown below, the diagonal length FC = 16√2 centimeters and the height of the pyramid is 7 centimeters. Fin
d the slant height AD of the pyramid, to the nearest tenth. Show your work with reasoning for each step.
 
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Answer:
Step-by-step explanation:
The base is 16 cm by 16 cm.
OD = 8 cm
AD = √(8² + 7²) = √113 ≅ 10.6 cm
 
                                
             
                    
              
              
                
                
ANSWER:
Since the base is a square, a side of the base = FC/√2 = 16
The slant height = √{(16/2)² + 7²}
= √(8² + 7²)
= √(64 + 49) 
= √113 ≈ 10.6 cm.
 
                                
             
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