The Pythagorean theorem states that the square of the hypotenuse is equal to  the sum of the squares of the legs:

The hypotenuse is the side with the greatest length.
Check all options:
1. c=5, a=3, b=4:
 true.
 true.
2. c=14, a=4, b=11:
 false.
 false.
3. c=17, a=9, b=14:
 false.
 false.
4. c=16, a=8, b=14:
 false.
 false.
5. c=17, a=8, b=15:
 true.
 true.
Answer: correct options are A and E.
 
        
                    
             
        
        
        
Answer:
Option 3)  y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y = 
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the  ⊥ line has a slope = m =  3
Now, 
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=> 
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1
 
        
                    
             
        
        
        
Step-by-step Solution
Problem to solve: 6x−8y−5х+3y
solving method: simplifying 
Combining like terms -8yand 3y 
6x−5y−5
Final Answer:
6x−5y−5
 
        
                    
             
        
        
        
25 is the answer/ third option