allegansveritatem
Full Member
- Joined
- Jan 10, 2018
- Messages
- 962
Problem (only part C is relevant for this post):
I knew from working out A and B that the distance between R and Q was sqrt of 265. But I couldn't figure out how to find the coordinates of R without knowing at least one of them and didn't know how to get that info from what had been given or what had been derived (distance between P and Q, and midpoint) but I tried to do it the hard way because I think that is how the author wanted it done. Here is what I did:
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I did not have this worked out in the solutions book--it is an even numbered problem--but I found the answer in the back of the text because it is part of a review test. Here is the solution:
So I got my answer but I didn't get it without fudging. If I had to solve a problem like this without a graph, how would I do it? I have a feeling it may havve something to do with using points P and Q to get the slope of the line joining them and use the negative reciprocal of that slope and the coordinates of Q to find the equation of the perpendicular bisector to line between P and Q and then maybe....what? Or is that too baroque altogether?
I knew from working out A and B that the distance between R and Q was sqrt of 265. But I couldn't figure out how to find the coordinates of R without knowing at least one of them and didn't know how to get that info from what had been given or what had been derived (distance between P and Q, and midpoint) but I tried to do it the hard way because I think that is how the author wanted it done. Here is what I did:
\
I did not have this worked out in the solutions book--it is an even numbered problem--but I found the answer in the back of the text because it is part of a review test. Here is the solution:
So I got my answer but I didn't get it without fudging. If I had to solve a problem like this without a graph, how would I do it? I have a feeling it may havve something to do with using points P and Q to get the slope of the line joining them and use the negative reciprocal of that slope and the coordinates of Q to find the equation of the perpendicular bisector to line between P and Q and then maybe....what? Or is that too baroque altogether?