Problem 6
There are two natural ways to inscribe a square in a given isoceles right triangle. If it is done as in Figure 1 below, then one finds that the area of the square is 441 cm
2.
What is the area (in cm
2) of the square inscribed in the same triangle ABC as shown in figure 2 below?
Students, email your solutions to
jwarnke@mail.unomaha.edu. Solutions are due by 11:59PM on Friday October 17th, 2008. Along with your solution, include your name, your school's name, the name of your math teacher or math club moderator, and your year in school.
Note, figures may not be to scale
