Question

James measured a TV that is approximately 13 inches tall by 20 inches wide. Since the size of TVs are named by the measure of the diagonal, the BEST diagonal measure for this TV is...A. 32inchB.27inchC.24Inch

Answer 1

In order to calculate the diagonal of the TV, we can use the Pythagorean theorem, where the diagonal is the hypotenuse and the dimensions of the TV are the legs:

`d^2=13^2+20^2`

Solving for d, we have:

`\begin{gathered} d^2=169+400\\ \\ d^2=569\\ \\ d=23.85\text{ in} \end{gathered}`

Rounding to the nearest whole number, we have a diagonal of 24 inches, therefore the correct option is C.