The Biggest Triangle?

What's the biggest triangle, which is similar to the one shown, that can be fit inside the square? Explore and then use your results to draw the biggest triangle you can on your group's table. Calculate the area and find the scale factor between the triangle on your handout and the one you draw on your desk. You may use a calculator to help, but, of course, record what you are calculating and be able to explain what the calculations are representing.