If median CD of ∆ABC is perpendicular on AC then show that 2 tan A +tanC =0
Anjali , 7 Years ago
Grade 11
Trigonometry> If median CD of ∆ABC is perpendicular on ...
1 Answers
Arun
Last Activity: 7 Years ago
Dear Anjali
When we draw the median CD then, you will see that-
In Triangle BCD
use sine rule
c/2 sinA /sin(180-C-A) = c/2 /sin(C-90)
sinA/sin(A+C) = -1/cosC
sinA cosC = -sin(A+ C)
sinAcosC =-[sinAcosC + cosA sinC]
2tanA +tanC =0
Regards
Arun (askIITians forum expert)
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