# Two corners of an isosceles triangle are at #(2 ,4 )# and #(8 ,5 )#. If the triangle's area is #4 #, what are the lengths of the triangle's sides?

Three sides of the triangle measure

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The lengths of the triangle's sides cannot be determined solely from the given information. More information is needed, such as the coordinates of the third vertex or the lengths of the sides.

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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.

- Why do we add bases of a trapezoid, while finding its area?
- An ellipsoid has radii with lengths of #8 #, #7 #, and #6 #. A portion the size of a hemisphere with a radius of #5 # is removed form the ellipsoid. What is the remaining volume of the ellipsoid?
- The base of a triangular pyramid is a triangle with corners at #(5 ,8 )#, #(6 ,7 )#, and #(2 ,3 )#. If the pyramid has a height of #2 #, what is the pyramid's volume?
- The radii of the bases of two right circular solid cones of the same height are r1 & r2. The cones are melted & recasted into a solid sphere if radius R . show that the height of each cone is given by h=4R^3÷r1^2+r2^2 ?
- Cups A and B are cone shaped and have heights of #32 cm# and #24 cm# and openings with radii of #15 cm# and #8 cm#, respectively. If cup B is full and its contents are poured into cup A, will cup A overflow? If not how high will cup A be filled?

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