# Length of a missing side no angle given :(

1. Feb 20, 2015

### t3rom

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:

2. Feb 20, 2015

### Borg

I don't think that it's possible. What if it looks like this?

3. Feb 20, 2015

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

4. Feb 20, 2015

### t3rom

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..

5. Feb 20, 2015

### micromass

Draw a diagonal and apply the cosine rule.

6. Feb 20, 2015

### Staff: Mentor

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.