Question

Are the points (-3,5),(0,3), and (2,6) the vertices of a right triangle? Draw the diagram. Show all algebraic work, please. Don't forget to make a conclusion based on your findings. Thanks!

Answer 1

See explanation

Explanation:

Slope1:m1

m1=(3-5)/(0-(-3))

m1=-2/(0+3)

m1=-2/3

m2=(6-3)/(2-0)

m2=3/2

3/2*(-1)*(-2/3)=1

-3/2*(-2/3)=1

6/6=1

1=1

Since slopes m1 and m2 are opposite reciprocals of each other, that means that the two lines are perpendicular, meaning they can form a right angle triangle.

Answer 2

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