Kim went to the store to buy a new TV. The sales clerk asked "How large is your current TV?". Kim replied "It is 25 inches wide and 14 inches tall". The sales clerk explained that TVs are sold by the measurement along the diagonal of the screen. Save Kim a trip home to remeasure - What is the diagonal measurement for Kim's current TV?

To find the diagonal measurement of Kim's current TV, you can use the Pythagorean theorem, which is applicable since the TV screen forms a right-angled triangle with its width and height. **Given:** - **Width (W) = 25 inches** - **Height (H) = 14 inches** **Formula:** \[ \text{Diagonal (D)} = \sqrt{W^2 + H^2} \] **Calculation:** \[ D = \sqrt{25^2 + 14^2} = \sqrt{625 + 196} = \sqrt{821} \approx 28.66 \text{ inches} \] **Rounded to one decimal place:** \[ D \approx 28.7 \text{ inches} \] **Conclusion:** Kim's current TV has a diagonal measurement of approximately **28.7 inches**.