# Two corners of an isosceles triangle are at #(9 ,6 )# and #(4 ,7 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?

The length of three sides of triangle are

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To find the lengths of the sides of the isosceles triangle, first, calculate the length of the base. Then, use the given area to determine the height of the triangle. Once you have the height, you can apply the Pythagorean theorem to find the lengths of the sides.

- Calculate the length of the base using the distance formula between the given points (9, 6) and (4, 7).
- Use the formula for the area of a triangle (Area = 0.5 * base * height) to find the height of the triangle.
- Apply the Pythagorean theorem to find the lengths of the remaining sides of the triangle.

Following these steps, you can find the lengths of the sides of the isosceles triangle.

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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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