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Grade: 12
        

In a triangle ABC, AB=AC and the length of the median from B to the side AC is 1. Find the cosine of the angle A for which the area of triangle is minimun.

10 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
							

Dear harshit

 

5462-1578_7662_untitled.JPG

cosA =((b/2)2 +c2 -1) /bc

 

   b=c

 so   cos A = 5/4   -1/b2 

  b2=4/(5-4cosA)

 

nor area of triangle is =1/2 bc sinA

                              =1/2 b2 sinA

                              =2sinA/(5-4cosA)

now differntiate and value of cos A for minimum value of area


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.
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Askiitians Experts
Badiuddin

 

10 years ago
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