Length of a missing side no angle given :(

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Finding the fourth side of an irregular plot with only three known sides is not possible without additional information, such as angles or area. The discussion emphasizes that the fourth side could vary widely, depending on the configuration of the existing sides. Suggestions include using the cosine rule if more data were available, but without it, no definitive formula can be established. The consensus is that additional details are essential to determine the missing side accurately. Therefore, the problem remains unsolvable with the given information.
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I'm given an irregular shaped plot with 3 sides, and have been asked to find the fourth missing side, no other detail is given. Is it possible to find the missing side? If so, then how? Here is what it looks like roughly:

8wids2.jpg
 
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I don't think that it's possible. What if it looks like this?
polygon.jpg
 
Looks like you need one more piece of data ... angles, area - etc... however you could write a formula for ? based on the missing info.
 
Borg said:
I don't think that it's possible. What if it looks like this?
View attachment 79370

That can be a possibility as it's a plot with irregular sides.

Windadct said:
Looks like you need one more piece of data ... angles, area - etc... however you could write a formula for ? based on the missing info.

Can I write a formula without the missing data? If so then how, please elaborate..
 
t3rom said:
That can be a possibility as it's a plot with irregular sides.
Can I write a formula without the missing data? If so then how, please elaborate..

Draw a diagonal and apply the cosine rule.
 
t3rom said:
I'm given an irregular shaped plot with 3 sides, and have been asked to find the fourth missing side, no other detail is given. Is it possible to find the missing side? If so, then how? Here is what it looks like roughly:

8wids2.jpg
It's not possible to find the fourth side, assuming that all we know is the lengths of the three sides. The fourth side could be anywhere from 0 to (a triangle) to 29.9 + 19.5 + 30.05 (in which you get a straight line.
 

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