# Two corners of an isosceles triangle are at #(1 ,3 )# and #(1 ,4 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?

Lengths of sides:

The vertices at

So one side of the triangle has a length of

Note that the equal length sides of the isosceles triangle can not be both equal to

If we use the side with length

(Since

Bisecting the base to form two right triangles and applying the Pythagorean Theorem, the lengths of the unknown sides must be

(Notice that the height to base ratio is so great, there is no significant difference between the height and the length of the other side).

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The lengths of the sides of the isosceles triangle are 16 and 8.

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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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