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Because1^2+4^2 is not equal to 2^2+3^2
But a more proper proof is needed. Yours is just a only one of the cases. Try something like this:1) Let there be a square ABCD on the concentric circles with center O.2) Due to British Flag Theorem (see similar foxes in www.8foxes.com: OA^2 + OC^2 = OB^2 + OD^23) OA, OB, OC, and OD can take the following values only: 1, 2, 3, and 4.4)1^2 + 2^2 = 3^2 + 4^2 ? NO1^2 + 3^2 = 2^2 + 4^2 ? NO1^2 + 4^2 = 2^2 + 3^2 ? NOThere is no other combination.5) NO such ABCD square exists. EOP.
Yes you are rightBut is someone try to draw a square, he or she must know that all rectangles is not square
Because
ReplyDelete1^2+4^2 is not equal to 2^2+3^2
But a more proper proof is needed. Yours is just a only one of the cases. Try something like this:
ReplyDelete1) Let there be a square ABCD on the concentric circles with center O.
2) Due to British Flag Theorem (see similar foxes in www.8foxes.com:
OA^2 + OC^2 = OB^2 + OD^2
3) OA, OB, OC, and OD can take the following values only: 1, 2, 3, and 4.
4)
1^2 + 2^2 = 3^2 + 4^2 ? NO
1^2 + 3^2 = 2^2 + 4^2 ? NO
1^2 + 4^2 = 2^2 + 3^2 ? NO
There is no other combination.
5) NO such ABCD square exists.
EOP.
Yes you are right
ReplyDeleteBut is someone try to draw a square, he or she must know that all rectangles is not square