# A triangle has corners at #(1 ,4 )#, #(7 ,5 )#, and #(3 ,2 )#. How far is the triangle's centroid from the origin?

distance of centroid from origin is:

The triangle's centroid is the mean point.

So mean

Mean

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Using Pythagoras

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The distance from the centroid of the triangle formed by the points (1, 4), (7, 5), and (3, 2) to the origin is approximately ( \frac{5}{3} ) 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.

- What is the perimeter of a triangle with corners at #(8 ,5 )#, #(9 ,7 )#, and #(1 ,4 )#?
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- A triangle has corners at #(5 ,6 )#, #(2 ,7 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin?
- Circle A has a center at #(3 ,2 )# and a radius of #6 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them?
- What is the equation of a line that is perpendicular to - x + 2y = 4 and passes through the point (-2,1)?

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