Two corners of a triangle have angles of # (7 pi )/ 12 # and # pi / 4 #. If one side of the triangle has a length of 1, what is the longest possible perimeter of the triangle?
Longest possible perimeter of the triangle ABC is
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The longest possible perimeter of the triangle is (2 + \sqrt{2}).
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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.
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.
- Two corners of an isosceles triangle are at #(8 ,2 )# and #(4 ,7 )#. If the triangle's area is #9 #, what are the lengths of the triangle's sides?
- The base of a triangular pyramid is a triangle with corners at #(6 ,7 )#, #(5 ,5 )#, and #(8 ,4 )#. If the pyramid has a height of #6 #, what is the pyramid's volume?
- Why does a parallelogram and a rectangle both have the same area formula?
- An ellipsoid has radii with lengths of #5#, #7#, and #7#. A portion the size of a hemisphere with a radius of #5# is removed from the ellipsoid. What is the remaining volume of the ellipsoid?
- The base of a triangular pyramid is a triangle with corners at #(2 ,5 )#, #(6 ,6 )#, and #(2 ,8 )#. If the pyramid has a height of #4 #, what is the pyramid's volume?
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