 # 1)if the median of triangle ABC through A is perpendicular to AB, then value of tanA + 2 tanB is......?2)In a triangle ABC, a=5,b=4 & cos(A-B)=31/32, then side c=.....?3)if the bisector of angle A of ΔABC makes an angle Φ wid BC, then sinΦ is equal to....?4)in a triangle ABC, (a+b+c)(b+c-a)=Λbc if......(condition)?  Badiuddin askIITians.ismu Expert
148 Points
12 years ago

Dear nishat In Triangle ACD

use sine rule

a/2 sinB /sin(180-A-B)   = a/2 /sin(A-90)

sinB/sin(A+B)  = -1/cosA

sinB cosA = -sin(A+B)

sinBcosA  =-[sinAcosB + cosA sinB]

tanA +2tanB =0

post seperate question in different post

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Regards, Kushagra Madhukar
one year ago
Dear student,

Please post the questions separately as many of them are lengthy and require attachment of diagram for them separately. Hence not all of them can be solved right here.

Thanks and regards,
Kushagra