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iit jee Grade: 12
        

If tan(A/2) = 5/6, tan(B/2) = 20/37, prove that a+c = 2b 

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear


we know


tanA/2 ={(s-b)(s-c)/s(s-a)}1/2


tanB/2 ={(s-a)(s-c)/s(s-b)}1/2


now first calculate


 tanA/2 * tanB/2 = 5/6  * 20/37


61a -161c + 61b =0   .................1


 


now calcualte


 tanA/2 / tanB/2  = 5/6 ÷ 20/37


put the value and simplify


 61a -13c -61b =0  ....................2


 


 now solve 1 and 2


a/87  = b/74 =c/61


 


 calculate a+c = [87/74 + 61/74 ]b


                     =2b


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Badiuddin


 


 

7 years ago
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