Question

16. Shahriar knows that the size of a television set is based on the length of the diagonal of the screen. He thinks that the diagonal is not as large as the ad says. Is he correct? Explain. GREAT DEAL 42-inch TELEVSION ON SALE! 30 in. 25 in

Answer 1

Given:

Solution:

In order to conclude if the diagonal is not as large as the ad says, we will find the diagonal by the use of Pythagorean Theorem. The theorem says that the square of the diagonal is equal to the sum of the square of the other two sides.

`\begin{gathered} D^2=30^2+25^2 \\ D=\sqrt[]{30^2+25^2} \\ =\sqrt[]{900+625} \\ D=\sqrt[]{1525} \\ D=5\sqrt[]{61} \\ D=39.05124838 \end{gathered}`

ANSWER:

Yes, Shahriar is correct. The screen is not as big as the ad says it is. The ad says it's a 42-inch television but based on the computed data, it is only 39.05 inches.