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

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
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very  quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin

```
7 years ago
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