A triangle has two corners with angles of # pi / 12 # and # (7 pi )/ 8 #. If one side of the triangle has a length of #11 #, what is the largest possible area of the triangle?

Answer 1

Largest possible area of the triangle #A_t = color(green)(41.9086)#

Given : #/_A = pi/12, /_B = (7pi)/8#

Third angle #C = pi - pi/12 - (7pi)/8 = pi/24#

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Answer 2

To find the largest possible area of the triangle given the two angles and one side length, you can use the formula for the area of a triangle:

[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ]

First, find the height of the triangle using trigonometric functions with the given angles and side length. Then, use the formula to calculate the area. Since you want the largest possible area, consider how the height changes as the angle varies and choose the appropriate angle that maximizes the area.

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Answer from HIX Tutor

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.

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