# Two corners of a triangle have angles of # (5 pi )/ 8 # and # ( pi ) / 12 #. If one side of the triangle has a length of # 7 #, what is the longest possible perimeter of the triangle?

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The longest possible perimeter of the triangle can be found by adding the lengths of the three sides. Since we are given one side length of 7 and the two angles, we can use the law of sines to find the lengths of the other two sides. Then, we can calculate the perimeter by summing all three side lengths.

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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.

- A pyramid has a parallelogram shaped base and a peak directly above its center. Its base's sides have lengths of #6 # and #5 # and the pyramid's height is #6 #. If one of the base's corners has an angle of #(5pi)/6#, what is the pyramid's surface area?
- Two corners of a triangle have angles of # (2 pi )/ 3 # and # ( pi ) / 6 #. If one side of the triangle has a length of # 4 #, what is the longest possible perimeter of the triangle?
- Two corners of an isosceles triangle are at #(8 ,7 )# and #(2 ,3 )#. If the triangle's area is #64 #, what are the lengths of the triangle's sides?
- A triangle has two corners with angles of # pi / 12 # and # pi / 2 #. If one side of the triangle has a length of #6 #, what is the largest possible area of the triangle?
- A triangle has two corners with angles of # (3 pi ) / 4 # and # ( pi )/ 12 #. If one side of the triangle has a length of #4 #, what is the largest possible area of the triangle?

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