Circle Theorems Puzzle

[Pedsdude]

Yeah but you don't have any lengths. So it's corners only.

Well no, you can assign an arbitrary value of '1' to the radius and then work out relative lengths using that.

[Rezil]

Yeah but what if it has to be an exact value? Using sine will only approximate the value.

[Pedsdude]

It's a school maths problem, it'll be fairly obvious the angle comes up to 29.94 degrees or something, then it'd be 30 degrees.

[Rezil]

Probably this, not sure tho. DEG and ACD are simmilar.

[Pedsdude]

How does any of that prove that AFB is 90 degrees?

[Rezil]

It doesn't, it proves that corner BCA is 26°. So triangle BCD is solvable->corner CDB is 38°->64-38=26.

[Pedsdude]

GE || AC doesn't prove that AE || BC. Imagine moving the location of B on the diagram - it would change the orientation of BC but AE would remain in the same position.

[Coontang]

I completely agree up to this point (see attachment).

I already made that point about the extra line. But the question wouldn't usually have me drawing extra lines on so I'm assuming I shouldn't have to add lines. Also, F is not a perpendicular crossing, As if you draw it out slightly differently and more accurately you will see it is ~10 off at least.

[Rezil]

How did you draw it out accurately?

[Pedsdude]

Here's the 100% confirmed details so far:
(new additions made in red)

Tbh, I suspected from very early on that it's not solveable, and the more I look at it the more convinced I am!

[Pedsdude]

Not enough information. Could work out length AC but nothing else at all, you get stuck. Not solveable.

[Rezil]

Fuck you it's 26.

[Drofder2004]

It's a school maths problem, it'll be fairly obvious the angle comes up to 29.94 degrees or something, then it'd be 30 degrees.

Genius in the making. You can see Einstein say "well, its close enough".

The question is not to guess it using a method but to prove it.

Also:


A-LEVEL QUESTION: 5 Marks.
Show your working.
Q. Is this solveable:
<img>
A. No.

Instant 5 marks.

[Husker]

Q. Is this solveable
A. No.

Instant 5 marks.

Finally someone actually smart

[Pedsdude]

It's a school maths problem, it'll be fairly obvious the angle comes up to 29.94 degrees or something, then it'd be 30 degrees.

Genius in the making. You can see Einstein say "well, its close enough".

The question is not to guess it using a method but to prove it.

It would be using a method, it's simply using rounding. You can't be expected to go to 100 decimal places in a school question, they would be fine with 5. Rounding is not guessing in this sense.