Q. 24.0( 2 Votes )

The vertices of a triangle ABC are A(0, 0), B (2, -1) and C (9, 0). Find cos B.

Answer :

Key points to solve the problem:


The idea of distance formula- Distance between two points P(x1,y1) and Q(x2,y2) is given by- PQ =


Given,


Coordinates of the triangle and we need to find cos B which can be easily found using cosine formula.


See the figure:



From cosine formula in ΔABC , We have:


cos B =


using distance formula we have:


AB =


BC =


And, AC =


cos B = …ans


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