List the steps of the Phythagorean Theorem Proof in order: (picture given) The total area of the large square in Figure 2 is c² + 4 (½ab).

Subdivide the large square in Figure 1 into a square with side-length a, another square with side length b and two rectangles with side-lengths of a and b.

The total area of the large square in Figure 1 is a² + b² + ab + ab.

a² + b² + ab + ab = c² + 4 (½ab)

The two large squares have the same area because they are they have the same dimensions.

Start with two large squares with sides of length a + b.

Subdivide the large square in Figure 2 into a four right triangles with legs of a and b and a square with side-length of c.​

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?