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Debanjan Sarkar Grade: 12
        

The legs of a tripod are each 10cm in length,and their points of contact with a horizontal table on which the tripod stands from a triangle whose sides are 7,8 and 9cm. in length.Find the inclination of the legs to the horizontal,and the height of the apex.

6 years ago

Answers : (1)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


Its a very simple question. You just have to use cosine and  sine formula.


 


If ABC is a triangle with sides a = BC, b = CA, c = AB, then prove that





In figure (i),


A < 90o



But from D BAE, we have




In figure (ii),


A > 90o



But from D BAE, we have




In figure(iii),



From (i), (ii) and (iii), we conclude that



Similarly, b2 = c2 + a2 - 2 ca cos B



 








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All the best.


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Askiitians Expert


Sagar Singh


B.Tech, IIT Delhi

















6 years ago
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