Question

Television sizes are determined by the length of their diagonal measure. Michael just bought a new television. The height of the television is 40 inches and the length is 71.5 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 formula. Part C: Solve for the missing length. 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:

A)  Hypotenuse

B) 40² + 71.5² = c²

1600 + 5112.25 = c²

C² = 6712.25

c = √6712.25

c = 81.9 or 82

Step-by-step explanation:

Answer 2

Answer:

A) Both legs are given, looking for the hypotenuse; B) 40²+71.5²=c²; C) C = 81.9283; D) 82"

Step-by-step explanation:

The diagonal of the television creates two right triangles, with the diagonal being the hypotenuse of each.  This means the length and width are the legs of the triangle.

Putting the measures of the legs into the Pythagorean theorem, we have

40²+71.5² = c²

1600+5112.25 = c²

6712.25 = c²

Take the square root of each side:

√(6712.25) = √(c²)

81.9283 = c²

Rounding to the nearest whole number, we have the diagonal equal to 82 inches.