# A triangle has corners at points A, B, and C. Side AB has a length of #38 #. The distance between the intersection of point A's angle bisector with side BC and point B is #8 #. If side AC has a length of #44 #, what is the length of side BC?

Let AD be the point A's bisector (D is the intersection of bisector with side BC.

By the bisector theorem there is a relation between the sides of the triangle and the parts of the side cut by the bisector:

The known sides are AB=38 and AC=44 and the part of side BC, BD=8. Then you can find DC:

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The length of side BC is 24.

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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.

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