Triangle Q S R is shown. Angle Q S R is a right angle. Altitude s is drawn from point S to point T on side Q R to form a right a ngle. Side Q S is labeled r and side W R is labeled q. The length of Q T is 10 and the length of R T is 4. What is the value of q? 4 StartRoot 5 EndRoot 2 StartRoot 14 EndRoot 20 StartRoot 5 EndRoot
       
      
                
     
    
    
    
    2  answers:
            
              
Answer: 
q = 2√14
Step-by-step explanation: 
got it right on test
 
                                
             
                    
              
*The diagram is in the attachment
Answer:
q = 2√14
Step-by-step explanation:
To determine the value of q, apply the leg rule/geometric mean theorem, which is:
Hypotenuse/leg = leg/part
Hypotenuse = 10 + 4 = 14
Leg = q
Part = 4
Plug in the values into the equation:
14/q = q/4
Cross multiply
q*q = 14*4
q² = 56
q = √56
q = √(4*14)
q = 2√14
 
                                
             
         	
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3 cm on the map represents 31.5 km in reality.
        
                    
             
        
        
        
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Answer: 
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Step-by-step explanation: 
 
        
             
        
        
        
Answer: 
the shortest side is 855 miles long. 
Step-by-step explanation: 
a + b + c = 3078 miles
a = b - 71
c = b + 371
=>
(b-71) + b + (b+371) = 3078
3b + 300 = 3078
3b = 2778
b = 926 miles
a = 926 - 71 = 855 miles
c = 926 + 371 = 1297 miles