you are hanging a picture. the picture is level but the walls look off slightly. you want to know if the corners of the wall are squares to see if that's why things don't look right. explain how you could algebraically determine whether or not the corners of the wall are square (right angles)

1 answer

If you are looking for a square...
You know that you need to have the top and bottom the same length, and parallel. As well as each side the same length and parallel : )
You could also start at the corner of the wall...use a tape measure and measure 3 feet out from the wall (mark it with a piece of tape), then go back to the corner of the wall and measure four feet up the wall, mark it with a piece of tape. Then take the tape measure and check if the hypotenuse of the triangle that you just created is 5 feet long. The first Pythagorean triple is a 3, 4, 5 triple, and if your wall is 90 degrees the hypotenuse will be 5 feet : )