I have found this game quite addictive. Has anyone else tried it?

The answers are somewhere between cogitation and intuition.

Looks like fun, but it's bedtime right now.

Playing with this again, I'm stuck at 7.1

I know I've solved it before, but can't see it now.

Construct a square whose area equals the sum of the areas of the two given squares and all three have the common angle.

If anyone's interested in just tinkering around with geometry try Geogebra. It's a free app and comes complete with lessons in geometry (on the website).

I got stuck regularly in this game and never finished it. I did complete that one about 2 years ago and just started it again and I'm stuck in level 2. :cry: BTW, from the same makers xsection! Which I did finish and I'm sure you will like.

I'll have a look if I accidentally remember how 7.1 goes.

Playing with this again — Banno

All work and no play makes Jack a dull boy. All play and no work makes Jack a grasshopper.

The hypotenuse has to be the length of the sum of the two sides, but I can't see how to construct it.

AH, I did it, but in an inelegant way. No L or E goal.

Side length of first square = x
Side length of second square = y
Side length of third square = z

x² + y² = z²

3² + 4² = 5²

Yep. So construct a right triangle with sides equal to the tow squares; then the hypotenuse is the length of the desired square.

Are you getting all the stars? I only got all the stars for beta and never got beyond theta level 1.

Yep. So construct a right triangle with sides equal to the tow squares; then the hypotenuse is the length of the desired square. — Banno

Pythagoras' theorem. :up:

Nuh. I'm focusing on getting through them all, but go back to get more starts as well. I've got all stars up to β7, and a few beyond that. I find the E hard to get.

I just started again. Already stuck at 1.5. Can't understand how I ever got to theta! :sweat:

Spoilers?

I didn't enjoy maths as a child but I do remember finding the idea of Pythagoras' s hypothenuse triangle to be very exciting. I also do like the geometry of circles and lines too, but somehow got on so much better in exploring them in art, rather than in geometry lessons.

Not for me thanks. I remember that if you don't really understand why a solution works you'll get stuck again at a later point. So if someone explains it, I tend to not really understand why unless I figure it out for myself.

I agree.

Try it out - see how you go.

I didn't enjoy maths as a child but I do remember finding the idea of Pythagoras' s hypothenuse triangle to be very exciting. I also do like the geometry of circles and lines too, but somehow got on so much better in exploring them in art, rather than in geometry lessons. — Jack Cummins

Art & Math go a long way back I believe: Proportio Divina.

Jack = 4 letters
Cummins = 7 letters

7/phi = 4.326 = 4

(7 + 4)/phi = 11/phi = 6.799 = 7

The gloves didn't fit O. J. Simpson!

I'm stuck on 8.1

Anyone?

Take the base line, extend it to the left with the length of the diagonal, extend it to the right with the vertical length, divide that total length by 2 and you have your point.

Meanwhile, still stuck on 1.5 :rofl:

Oh, bugger. Half the total length, of course. Simple when you see it.

Solution to 1.5

Yeah, I have that solution in my history but I no longer understand why this gives me the correct points. If I ignore 1.5 for now I can solve at least until 2.5 and ongoing.

2.7 with only 1 line is fun. I had to think about that again.

@Banno any hints for 4.11?

My delta goes to 10??

double checked but it really is 4.11. Maybe you need a certain amount of stars.? I have 24 in delta.

I'm using the web site - are you on the app?