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harshit agarwal 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.

7 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




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Badiuddin


 

7 years ago
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