Question 1006181: Consider the three points:
A=(2,1)
B=(6,3)
C=(9,7)
Determine the angle between AB and AC
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Use distance formula to get values for the lengths of AB, AC, BC. Use Law Of Cosines to find the unknown angle measure at vertex point A.
The distance formula used correctly should give  , that work not shown here.
Law Of Cosines Equation for the described triangle:
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! Consider the three points:
A=(2,1)
B=(6,3)
C=(9,7)
Determine the angle between AB and AC
Side AB = c
Side AC = b
Side BC = a
Find the lengths of a, b, and c, using the given coordinate points and the distance formula. You want the angle between lines AB and AC, which is A
Therefore, use the following law of cosine formula to find angle A:
 , or 
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