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if A=45,B=75, then a+c √2 is equal to, a)2b b)3b c)√2 b d)b

if A=45,B=75, then a+c√2 is equal to,
a)2b
b)3b
c)√2 b
d)b
 

Grade:12

3 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
4 years ago
223-2126_Capture.PNG
Nickey Romeo
35 Points
3 years ago
a/sinA = b/sinB = c/sinC = k
a= k/root2
b= root3k/2
a+ root2 b = k(1+root3)/root2 -----(eq 1)
 
b/sinB =k
b= sin 75 * k
k= 2root b/(root3+1)
 
Substitute value of k in equation 1)
 
a + root c = 2b
Renushree Wakode
13 Points
one year ago
a/sin45 = b/sin75 = c/sin60 = k
 
a=k/√2.      b=ksin(45+30).         c=k√3/2
                    b=k(√3+1)/2√2
                i.e 2b=k(√3+1)/√2.  ------ (1)
a+c√2 = k/√2 + k√3.√2/2
            =k(1+√3)/√2
            =2b.            (from 1)    

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