Can you make exactly 2 squares and exactly 4 right-angled triangles using "only 8" that is exactly 8 straight lines?

I am looking for 3 different answers.


closed as unclear what you're asking by Mathias711, mmking, MisterEman22, tfitzger, Spencerkatty May 30 '15 at 21:27

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  • $\begingroup$ Exactly 2 squares and 4 right triangles, using exactly 8 lines? And are the shapes allowed to be overlapping? $\endgroup$ – tfitzger May 30 '15 at 20:16
  • $\begingroup$ I voted to close this because there are a lot of specifications that you left out of the puzzle, as shown by tfitzger's comment above. It's unclear whether the shapes can overlap, whether we need exactly 8 lines, if a larger shape can have a smaller shape inside, etc. This is also probably why people are downvoting it. $\endgroup$ – MisterEman22 May 30 '15 at 20:27
  • $\begingroup$ @MisterEman22 I'd say not so much "unclear what you're asking" as "too broad" - there must be many different ways of doing this. I haven't VTCed yet though. $\endgroup$ – Rand al'Thor May 30 '15 at 20:30
  • $\begingroup$ @randal'thor That's what I was thinking until I saw the other votes. I reasoned that since it isn't fully explained, we can't really label it as too broad. If after being explained, there are still many ways to solve the puzzle, then it should be closed/stay closed by the reason of "too broad" $\endgroup$ – MisterEman22 May 30 '15 at 20:32

This figure can be drawn using 8 straight lines. You can easily see 4 triangles and square, and the border of the figure forms a larger square.

enter image description here

  • $\begingroup$ darn you beat me by 17 seconds. I just got it drawn up in paint $\endgroup$ – MisterEman22 May 30 '15 at 20:21
  • $\begingroup$ @mike damm man,,, that was fast.. $\endgroup$ – jatin2302 May 30 '15 at 20:24
  • 1
    $\begingroup$ Plus any pair of squares inscribed like this works - no need to have everything be isosceles! $\endgroup$ – Milo Brandt May 30 '15 at 20:26
  • $\begingroup$ What program did you use to make the image? $\endgroup$ – user1717828 May 31 '15 at 16:19
  • $\begingroup$ @user1717828 Latex, with the tikz package $\endgroup$ – Mike Earnest May 31 '15 at 16:21

I can do it using only 7, as follows:

enter image description here

  • $\begingroup$ very nice , but here we need 8 lines .. $\endgroup$ – jatin2302 May 30 '15 at 20:18
  • $\begingroup$ @jatin2302 You say "only 8"; does that mean exactly 8 then? $\endgroup$ – Rand al'Thor May 30 '15 at 20:20
  • $\begingroup$ but 8 means 8 only.. not 7 or not 9 :) $\endgroup$ – jatin2302 May 30 '15 at 20:25
  • $\begingroup$ @jatin2302 OK, sorted! It's exactly 8 now, but not so neat :-) $\endgroup$ – Rand al'Thor May 30 '15 at 20:29
  • $\begingroup$ 2 square and 4 right angle triangle brother $\endgroup$ – jatin2302 May 30 '15 at 20:35

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