A triangle has sides with length of 5 yards,14 yards,and 16 yards.is it a right triangle
       
      
                
     
    
    
    
    
    2 answers:
            
              
              
                
                
Answer:
As the largest side is  
15
 yards and smaller sides are  
9
 yards and  
12
 yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.
Square of largest side is  
15
2
=
225
 and squares of smaller two sides are  
9
2
=
81
 and  
12
2
=
144
.
As  
225
=
81
+
144
, the triangle is right angled.
Step-by-step explanation:
 
                                
             
                    
              
              
                
                
Answer: No, this is not a right triangle
Pythagorean theorem a² + b² = c²  would apply if so, but No, it does not.
Step-by-step explanation:
5² = 25   14² = 196    16² = 256
25 + 196 = 221     221 ≠ 256   
So the given side lengths do not make a right triangle.
 
                                
             
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