# A triangle has two corners with angles of # pi / 12 # and # (5 pi )/ 8 #. If one side of the triangle has a length of #8 #, what is the largest possible area of the triangle?

Largest possible area of the triangle is 90.6224

The remaining angle:

I am assuming that length AB (8) is opposite the smallest angle.

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The largest possible area of the triangle can be found using the formula for the area of a triangle, which is 1/2 * base * height.

First, find the height of the triangle using trigonometric functions: Height = side * sin(angle)

Then, calculate the area using the formula: Area = 1/2 * side * height

Substitute the given values: Height = 8 * sin((5π)/8) Area = 1/2 * 8 * 8 * sin((5π)/8)

Calculate the numerical value of the expression: Area ≈ 30.51 square units.

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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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