Hello. This labeled diagram can represent many different triangles. In other words, there are many possibilities for the sum of x+y.
Hello. This labeled diagram can represent many different triangles. In other words, there are many possibilities for the sum of x+y. :cool:
I cannot read most of your second image. I can see points D and E. I can see that CD and CE have equal length.
Triangle CDE is isosceles. Why do you think triangle BDE is isosceles?
Then we should think about this some more; maybe I made an error in logic. I'll try picking some random values for x, to approximate the rest, and see what happens.My teacher told me that [triangle BDE is isosceles] …
Thanks for posting that. I'll have time to study it later today. Can you also post all of the information given to you, by the teacher?this is a better picture
Thanks for posting that. I'll have time to study it later today. Can you also post all of the information given to you, by the teacher?
I couldn't progress with his hints, and the only triangle that I could come up with through guess-and-check (using Law of Sines and Law of Cosines) shows that BDE is not isosceles.Thats all the info I've been given. As I've mentioned he also said that BDE is isosceles but I cant see any evidence of that …
I am.Are we keeping in mind that it asks for x+y and NOT for either x or y?
That ΔBDE is isosceles?It's not a rigid structure.
What am I missing?
Well, I also got x+y=90°, but my ΔBDE is not isosceles. :cool:If you draw a circle around D,P,A corners and if the origin is the C corner then DC=PC=EC=ED and DPEC is a deltoid. We know the DCP is a isosceles triangle so PDC angle = 75 and that means X is 15 degrees. That means BDC and BDE is isosceles … Am I right?
I verified the other case, but I am unable to find a set of six sides that work for either of these two cases.With the Center Point labeled "O",
With angle BOA labeled "a",
With angle CAO labeled "b"
With angle AOC lebeled "c"
With angle CBO labeled "d"
We have
x = 17
y = 3
a = 143
b = 83
c = 67
d = 13
x + y = 20
We have
x = 1
y = 1
a = 177
b = 117
c = 33
d = 29
x + y = 2
Yes, I verified that the following exists (rounded).… that means X is 15 degrees. That means BDC and BDE is isosceles.
I draw this using geogebra
View attachment 8465
… means ''y'' angle is 75 degrees. Am I right?