# What is the perimeter of a triangle with corners at #(3 ,4 )#, #(6 ,7 )#, and #(4 ,5 )#?

Labelling the points:

Vectors:

This means the points are collinear ( all lying on a straight line ), so these points do not form a triangle.

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The perimeter of the triangle with corners at (3, 4), (6, 7), and (4, 5) is approximately 10.83 units.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A line passes through #(3 ,2 )# and #(1 ,3 )#. A second line passes through #(1 , 4 )#. What is one other point that the second line may pass through if it is parallel to the first line?
- An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,5 )# to #(8 ,2 )# and the triangle's area is #36 #, what are the possible coordinates of the triangle's third corner?
- A triangle has corners at #(2 ,9 )#, #(4 ,8 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin?
- A triangle has corners at #(7 ,9 )#, #(4 ,1 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin?
- A line passes through #(5 ,9 )# and #(8 ,3 )#. A second line passes through #(2 ,6 )#. What is one other point that the second line may pass through if it is parallel to the first line?

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