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Arunav Nag Grade: 11
        

two side of a triangle are √3 - 1 and √3 + 1 units and their included angle is 60° . solve the triangle . ?

6 years ago

Answers : (2)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Arunav


Cos60=(√3 +1)2 + (√3 -1)2 -a2/2(√3 +1)(√3 -1)


solving a=√6


now use Cos formula to find out other angles like this


 


 All the best.                                                          


AKASH GOYAL


AskiitiansExpert-IIT Delhi


 


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6 years ago
vikas askiitian expert
510 Points
										

let a,b are 31/2-1 , 31/3+1 & C = 60o        then 


cosC = a2+b2-c2/2ab


ab = a2+b2-c2


3-1 + 6+2 -c2


c2 = 6


c = 61/2..................................1


now using a/sinA = b/sinB = c/sinC =k


     sinA = asinC/c = (31/2-1/2*21/2)


       A = 15o                ..............................2


    A+B+C = 180


    B + 60+15 = 180


   B = 105o..........................3

6 years ago
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