(a.) Which design allows more cars to be parked along a 200-foot block? Explain.
(b.) What advantages might the other design have?
Suggested Time Limit: 30 minutes
Question 1: Fomulate a proof of the Pythagorean Theorem. (You have seen the following proofs: similarity, bhaskara's, dissection.)
Question 2: Radio station WUOG in Athens has a broadcast range of 70 miles. The radio station is 40 miles east from Commerce. Commerce is 60 miles north of Atlanta. Determine if Atlanta is within WUOG's broadcast range. (Draw a picture, formulate an equation, solve the equation, and determine an answer.)
Question 3: As a city planner, you are designing parking for a downtown area. You are considering the two designs shown. In each design, the distance between the lines is 8 feet.
(a.) Which design allows more cars to be parked along a 200-foot block? Explain.
(b.) What advantages might the other design have?
Alternate Questions:
Alternate 1: Use the figure below and the Pythagorean Theorem to explain why the distance formula works. Use your explanation to write an outline for a proof of the distance formula.
Alternate 2: Find the length of each cable in the figure below.
Alternate 3: Find the diagonal across a rectangular 20" by 25" television screen.