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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.
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
In figure(iii),
From (i), (ii) and (iii), we conclude that
Similarly, b2 = c2 + a2 - 2 ca cos B
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