Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
What is the number of different squares which can be inscribed in a given equilateral triangle?Asked by Alize
What is the number of different squares which can be inscribed in a given equilateral triangle?
Answers
Answered by
Reiny
Saw this when you posted before, looks incomplete
My first reaction is to say, "an infinite number of them" since you state no conditions for your square.
e.g. Do the vertices of the square have to land on the sides of the rectangle?
IF so, then there would be 3, where each of the sides could hold the side of the square.
But since the triangle is equilateral, those 3 squares would all be identical.
So unless you worry about labeling them, there is only one distinct square possible
My first reaction is to say, "an infinite number of them" since you state no conditions for your square.
e.g. Do the vertices of the square have to land on the sides of the rectangle?
IF so, then there would be 3, where each of the sides could hold the side of the square.
But since the triangle is equilateral, those 3 squares would all be identical.
So unless you worry about labeling them, there is only one distinct square possible
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.