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) ?

Question

Mathematics

Guest

5 July, 08:47

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) ?

+4

Answers (2)

Know the Answer?

Renee · Answer 1

82 inches.

Step-by-step explanation:

The size, using Pythagoras,

= sqrt (40^2 + 71.5^2)

= sqrt (6712.25)

= 81.928 ins.

Meredith Higgins · Answer 2

Step-by-step explanation:

The height of the television is 40 inches and the length is 71.5 inches.

Part A

The part of the right angle triangle that you have been given are the legs which are also the opposite and adjacent sides. You are looking for the hypotenuse

Part B

The Pythagorean theorem is expressed as

Hypotenuse² = opposite side² + adjacent side²

The equation becomes

Hypotenuse² = 40² + 71.5²

Part C

Length ² = 1600 + 5112.25

Length ² = 6712.25

Length = √6712.25

Length = 81.9 inches

Part D

The size of the television is 82 inches