How can I dissect a triangle into 4 piece and form a square? I took A right triangle with sides 3,4,5.i was able to get a rectangle of side 3 and 2,if I dissect that I was able to get 3 squares of sides 2,1,1. I am new to dissection problems I just need to know how to approach these kind of problems
closed as off-topic by JonMark Perry, Rubio♦, Sconibulus, Mithrandir, Glorfindel May 23 '17 at 19:25
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is off-topic as it appears to be a mathematics problem, as opposed to a mathematical puzzle. For more info, see "Are math-textbook-style problems on topic?" on meta." – Rubio, Sconibulus, Glorfindel
Solution for a right isosceles triangle.
Solution for an equilateral triangle:
You can dissect it via the Dudeny Dissection. Image is from Wikipedia.
This answer may be a partial solution. Assuming that "square" means "regular quadrilateral with equal sides", then I don't think there is a general-case solution that fits your question for all possible triangles. You may be thinking of the
According to the theorem, any triangle can be dissected and rearranged into a square with equal area. However, it does not guarantee that it is dissected into 4 pieces.