# Two corners of a triangle have angles of # (2 pi )/ 3 # and # ( pi ) / 4 #. If one side of the triangle has a length of # 15 #, what is the longest possible perimeter of the triangle?

Perimeter

let

therefore;

using angle sum property

Using the sine rule

perimeter

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The longest possible perimeter of the triangle can be found by considering the sum of the lengths of the two sides adjacent to the given angles, along with the length of the side opposite the larger angle. Then, using the law of sines, the length of the side opposite the larger angle can be calculated. Finally, the perimeter of the triangle can be determined by summing the lengths of all three 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.

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