The largest angle of a parallelogram measures 120 degrees. If the sides measure 14 inches and 12 inches, what is the exact area of the parallelogram?
Caroline AucoinWe can get the area of parallelogram even though the angle is not given, since you gave the length of the two sides.
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Carson ArnoldTo find the exact area of the parallelogram, we can use the formula:
Area = base * height
where the base is any one of the sides of the parallelogram, and the height is the perpendicular distance between the base and its opposite side.
Since the largest angle of the parallelogram measures 120 degrees, the adjacent angles are supplementary, meaning they sum up to 180 degrees. Thus, the other angle measures 60 degrees.
Now, we can use trigonometric ratios to find the height of the parallelogram. The height can be found using the sine of the angle:
sin(60°) = height / 14
Solving for the height, we get:
height = 14 * sin(60°)
Similarly, for the other side, the height is:
height = 12 * sin(120°)
Once we have the heights, we can find the area using the formula mentioned earlier.
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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.
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