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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)?

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)?

Grade:Upto college level

3 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear nishat

 

7365-861_7662_untitled.JPG

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

     
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
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Regards,
Askiitians Experts
Badiuddin

Aman
11 Points
2 years ago
I have difficulty to understand please detail solutions so that I understand how the sine rule will applicable 
 
 
 
 
Kushagra Madhukar
askIITians Faculty 629 Points
8 months 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

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