bonanova Posted September 12, 2008 Report Share Posted September 12, 2008 Triangle ABC is isosceles. Find angle x. Do not assume the figure is drawn to scale. Do not use the law of sines. Use simple geometric reasoning, like Isosceles triangles have two equal angles and sides.The angles of a triangle sum to 180 degrees.Things like that.Have fun.You can add a line or two if you think it will help. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 (edited) ADEB is not a trapezoid. oops you're right...quadrilateral ADEB it's been way too long since i was in geometry... Edited September 12, 2008 by Impervious Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 What is angle BED and how did you get you come by the number? I meant BEA again with the chicken scratch haha Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 What is angle BED and how did you get you come by the number? i have BED as 60. BE_ = to 30 and BDE = 100 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 (edited) How did you find angel BED??? If anyone finds angle BED you've solved the puzzle, since x=BED-30 If you did get angle BED, could you please explain how??? You could also solve the puzzle if you find angle BDE, having x=130-BDE Anyone has another hint??? Edited September 12, 2008 by JarZe Quote Link to comment Share on other sites More sharing options...
0 k-man Posted September 12, 2008 Report Share Posted September 12, 2008 i have BED as 60. BE_ = to 30 and BDE = 100 How did you get BDE = 100? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 How did you find angel BED??? If anyone finds angle BED you've solved the puzzle, since x=130-BED If you did get angle BED, could you please explain how??? raven got it first, and after using my method of getting all other angles available i decided to solve for ADEB and sort of cheated after knowing what total number each triangle needed to add up to 180° i just plugged sets of number that I wrote out that would total the needed numbers Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 raven got it first, and after using my method of getting all other angles available i decided to solve for ADEB and sort of cheated after knowing what total number each triangle needed to add up to 180° i just plugged sets of number that I wrote out that would total the needed numbers Can you post the angles you have... I edited my previous post since I wrote the wrong formula and angles... But I'm left with some angles that I don't know how to find, which are BED, BDE... You could also solve it from the upper part needing angles CDE or CED... Still don't know how to find these... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 (edited) How did you find angel BED??? If anyone finds angle BED you've solved the puzzle, since x=BED-30 If you did get angle BED, could you please explain how??? You could also solve the puzzle if you find angle BDE, having x=130-BDE Anyone has another hint??? you dont find it like that you have to find what angle CDE is to solve this. I am posting a full solution as soon as i type it all up. (edit: and remember exactly each step to it so you can follow along) you see i am at work and keep getting interrupted lol... Edited September 12, 2008 by solemnraven Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 Can you post the angles you have... I edited my previous post since I wrote the wrong formula and angles... But I'm left with some angles that I don't know how to find, which are BED, BDE... You could also solve it from the upper part needing angles CDE or CED... Still don't know how to find these... I'm gonna let solemnraven do it since it was after all her solution Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 I'm gonna let solemnraven do it since it was after all her solution hey if you can do it faster than me, by all means go for it. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 hey if you can do it faster than me, by all means go for it. Oh no be my guest, i should be working instead of being on here, but you all are much more interesting and entertaining. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 no my answer is wrong.... go back to solving this cause i lost it trying to recreate my steps fail Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 no my answer is wrong.... go back to solving this cause i lost it trying to recreate my steps fail Nope you were right and I was wrong, I just replugged in your numbers Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 Nope you were right and I was wrong, I just replugged in your numbers I hate to break it to you guys, 20 deg. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 So I was working away on this and had pretty much given up. I had gotten to the point where there were only a couple of angles left to figure out (of course, x being one of them) when I realized I had made a mistake steps and steps earlier. UGH! Back to the drawing board!!! PS - Can't wait for simple geometry problem 2! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 I hate to break it to you guys, 20 deg. AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH ok I'm better now Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 AHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH ok I'm better now yeah no im not im redrawing this over and over and i have such a migraine. i was so sure it was right, but then i couldnt recreate it post the full solution please before i hurt one of my co-workers Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 yeah no im not im redrawing this over and over and i have such a migraine. i was so sure it was right, but then i couldnt recreate it post the full solution please before i hurt one of my co-workers Yeah d3k3....post your solution....Me and raven my going on a rampant office homice...two different offices same reason, different states....that would make the news...hmm the BD would be famous.....maybe you shouldn't post it. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 Yeah d3k3....post your solution....Me and raven my going on a rampant office homice...two different offices same reason, different states....that would make the news...hmm the BD would be famous.....maybe you shouldn't post it. uh oh strangely enough i see another murder mystery post involving us as the killers on BD (wait...i just gave away the answer didnt i) whoops! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 yeah, i just checked 20 degrees Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 yeah, i just checked 20 degrees Please post the complete answer... I still don't know how got to it... Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 12, 2008 Report Share Posted September 12, 2008 (edited) one more reply before i leave work what i have been trying to do now is use algebra, where x+y (where y= angle ED_)=130 but i need another formula. edit: clarification Edited September 12, 2008 by solemnraven Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 13, 2008 Report Share Posted September 13, 2008 50 degrees Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 13, 2008 Report Share Posted September 13, 2008 I retract that last try. Thought I had it. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted September 13, 2008 Report Share Posted September 13, 2008 Just to stop the pain in my head, I plugged this geometry into AutoCAD, and the answer is definitely 20 degrees. But for the life of me, I can't find the answer without using sine/cosine or some other method. Quote Link to comment Share on other sites More sharing options...
Question
bonanova
Triangle ABC is isosceles.
Find angle x.
Do not assume the figure is drawn to scale.
Do not use the law of sines.
Use simple geometric reasoning, like
Have fun.
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