Question

Television sizes are determined by the length of their diagonal measure. Michael just bought a new television. The height of the television is 37 inches and the length is 71 inches.


Using the Pythagorean Theorem, what is the size of Michael’s new television? Round your answer to the nearest whole inch (whole number)



Part A: What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?




Part B: Set-up your equation by substituting the correct numbers into the Pythagorean Theorem formula.




Part C: Solve for the missing length rounded to the nearest whole number. Remember to show ALL work for each step.




Part D: What is the size of the television rounded to the nearest whole inch (whole number)? REMEMBER: We’re looking for the length of the diagonal, as that is the measurement used to determine TV Sizes.

Answer 1

Answer:

80 inches

Step-by-step explanation:

Part A: hypotenuse.

Part B: d² = 37² + 71²

Part C: d = $\sqrt{37^2 +71^2}$ = √6410

d ≈ 80

Part D: 80 inches