[[and now I realize I should not have spilled beans, if those are the right beans. So I’m sure you won’t put that comment up if it will wreck the fun for others. And: I’ve been following you for a long time. I grew up in Minnesota, lived in Madison, and my grandparents and my mom were from Walker — where I spent a lot of time — so when I hear about your history I feel like our lives rhyme in a remarkable way. I appreciate your efforts, and think you would be a great pal to have around — which you are, I guess. Best, Paul Bendel-Simso, Westminster, Md.]]
You didn't spoil anything... because your answer is wrong. Close - but close doesn't count. (The triangle is degenerate, but note that A and D are not equally distant from B and C).
If you were to draw it to scale, the angle BAC would be 180 degrees, making BAC a straight line, and congruent with line BDC. The distance from A to D along those superimposed lines would be 1.
I wish the note was, "Drawing SUPER NOT to scale".
ReplyDeleteZero! Nice little head-scratcher.
ReplyDelete[[and now I realize I should not have spilled beans, if those are the right beans. So I’m sure you won’t put that comment up if it will wreck the fun for others. And: I’ve been following you for a long time. I grew up in Minnesota, lived in Madison, and my grandparents and my mom were from Walker — where I spent a lot of time — so when I hear about your history I feel like our lives rhyme in a remarkable way. I appreciate your efforts, and think you would be a great pal to have around — which you are, I guess. Best, Paul Bendel-Simso, Westminster, Md.]]
ReplyDeleteYou didn't spoil anything... because your answer is wrong. Close - but close doesn't count. (The triangle is degenerate, but note that A and D are not equally distant from B and C).
Delete(I'll see if our library has The Oyster Navy)
By using the zoom feature on my browser, I was able to shrink the picture such than x=1.
DeleteThat would be hard to draw it to scale!
ReplyDeleteAnd just to clarify, for those readers who are still "puzzled" by the problem, the "triangle" as drawn is what mathematicians call "degenerate."
ReplyDeletehttps://en.wikipedia.org/wiki/Degeneracy_(mathematics)
If you were to draw it to scale, the angle BAC would be 180 degrees, making BAC a straight line, and congruent with line BDC. The distance from A to D along those superimposed lines would be 1.