Instructions for making a baseball field. The Major League Baseball website provides instructions for laying out a basball field: “when the location of home plate is determined, use a steel tape (tape measure) to measure 127 feet, 3 3/8 inches in the desired direction to establish second base. From home plate measure 90 feet towards first base. From second base measure 90 feet towards first base. The intersection of these lines locates first base.” Third base is found in a similar manner, but to the left of home plate instead of to the right.
Your Task
In a baseball field, home plate and the three bases are supposed to be the corners of a square. Do the directions above result in home plate and the three bases being the corners of a square?

2. Give a description of how you would use the Pythagorean Theorem to determnine whether creating home plate and the 3 bases as directed above creates a square. If it doesn't make a square, how close is it to being a square (your answer should be a number, not words like "very close")?
3. Give a description of how you would use the Law of Cosines to determine whether creating home plate and the 3 bases as directed above creates a right angle at first base. If it doesn't make a right angle at first base, how close is it to being a right angle (Again, your answer should be a number, not words like "really close")?
4. To have a perfect presentation, discuss why it would be impossible to make a perfect square using the method described in the project development 4.04 (Your argument will probably include something about rational and irrational numbers)