Answer:
5 inches
Explanation:
We can represent the situation as seen in the diagram below:
So, the length of the diagonal can be calculated using the Pythagorean theorem. The Pythagorean theorem says that the largest side of a right triangle can be calculated as:
[tex]c=\sqrt[]{a^2+b^2}[/tex]Where a and b are the lengths of the other sides of the triangle and c is the length of the largest side.
Then, replacing a and b by 3 in and 4 in, we get that the diagonal of the television is equal to:
[tex]\begin{gathered} c=\sqrt[]{3^2+4^2} \\ c=\sqrt[]{9+16} \\ c=\sqrt[]{25} \\ c=5\text{ inches} \end{gathered}[/tex]Therefore, the length of the diagonal from corner to corner is 5 inches.
So, the answer is 5 inches.
