On a piece of graph paper, plot the following points: A (0, 0), B (5, 0), and C (2, 4). These coordinates will be the vertices of a triangle. Using the Midpoint Formula, what are the midpoints of the triangle's side, segments AB, BC, and CA?
We can find all the midpoints before we plot anything. We have sides:
The coordinates of the midpoint of a line segment is given by:
For
For
For
We now plot all the points and construct the triangle:
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The midpoints of the sides of the triangle with vertices A (0, 0), B (5, 0), and C (2, 4) are:

Midpoint of AB: [ \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) ] Substituting the coordinates of A and B: [ \left( \frac{0 + 5}{2}, \frac{0 + 0}{2} \right) = \left( \frac{5}{2}, 0 \right) ]

Midpoint of BC: Substituting the coordinates of B and C: [ \left( \frac{5 + 2}{2}, \frac{0 + 4}{2} \right) = \left( \frac{7}{2}, 2 \right) ]

Midpoint of CA: Substituting the coordinates of C and A: [ \left( \frac{2 + 0}{2}, \frac{4 + 0}{2} \right) = \left( 1, 2 \right) ]
So, the midpoints of the sides AB, BC, and CA are: Midpoint of AB: (2.5, 0) Midpoint of BC: (3.5, 2) Midpoint of CA: (1, 2).
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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.
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