Current location - Training Enrollment Network - Mathematics courses - The following is the emblem of the International Congress of Mathematicians held in Beijing in August 2002. It consists of four identical right-angled triangles and a big square in the middle.
The following is the emblem of the International Congress of Mathematicians held in Beijing in August 2002. It consists of four identical right-angled triangles and a big square in the middle.
As shown on the right,
Let two right angles of a large right triangle be A and B (A > B) and the hypotenuse be C,
Then a 2 +b 2 =c 2,
∴a 2 +b 2 = 13 2，
∫a-b = 7，
∴a=7+b，
∴(7+b) 2 +b 2 = 169
The solution is b=5 (negative numbers are rounded off).