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How do you use vectors to find the interior angles (in radians) of a triangle with the vertices (1,2) (3,4) and (2,5)?

1 Answer

Jul 14, 2016

Let the vertices be #A(1,2), B(3,4), & C(2,5).#

Then vector#vec(AB)##=(2,2),# since,

vector#vec(AB)#=(position vector of #B#) - (position vector of #A#)

#=(3,4)-(1,2)= (3-1,4-2)=(2,2)#

Similarly, vector #vec(BC)=(-1,1),# & vector #vec(CA)=(-1,-3).#

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