SOLUTION: Consider the three points: A=(2,1) B=(6,3) C=(9,7) Determine the angle between AB and AC

Algebra.Com
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
RELATED QUESTIONS

points a, b, c are collinear which is between the other two if ab=7, bc=3, and... (answered by stanbon)
In an triangle ABC, BC > AB and AC < AB. Which of the statement is always true? (1) (answered by Theo)
Consider the three points A = (7, -3), B = (9, 1), and C = (11, 0). Find the length of... (answered by Alan3354)
3) show that if A-B-C and B-C-D,then A-B-D and A-C-D 4)Given aline m with coordinate... (answered by 90089)
Find the value of x if A, B, and C are collinear points and B is between A and C.... (answered by jhunjiro)
On the banks of a river,surveyors marked locations A,B, and C. The measure of (answered by JBarnum)
Let A,B,C,D be collinear points such that AB = 2, AC = 3, AD = 4, BC = 5, BD = 6, CD = 1: (answered by greenestamps)
A, B, C, and D are four points on a line such that AB : AC = 7 : 10 , and BD : CD = 9 :... (answered by greenestamps)
Points A,B and C are collinear , where B falls between A &C. It is given that... (answered by ewatrrr)