Answer:
For one of them, it will be B=(4.5, 1.5). The sides would each be 3.54 long.
For the second, B=(1.5,5.5). Lines AB and CB are also going to be 3.54 long.
Step-by-step explanation:
My thought process was all over the place, to be honest with you. I drew out the points on some graph paper and found out the length of AC, which is 5. Then I thought I could use the law of sines since we know that the other two angles are both 45 degrees. Anyways, I got the lengths as 3.5. I was a bit off, but I found that out later. I thought of using a compass to try to see where a point would meet if there is a distance of 3.5, but I don't have a compass, so I went searching for online ones. I couldn't find one with a graph in it, so I used an online graphing system. From the beginning, I knew that it was probably going to be something .5, so I kept on trying to find a spot that had a length of 3.5 on both sides, and got really close, but they were still off. I checked where B was graphed, and it was a really long decimal, so I just put it to .5 on both the y and x and voila, I got 3.54 on both lines AB and CB. I, of course, checked my answers and found that the angle was in fact 90 degrees and I felt very pleased with myself. I did a simpler version for the other angle.
I hope this is correct! Please let me know, this was really fun anyways!
