Question

A model television is 3 inches by 4 inches. What is the length of the diagonal from corner to corner?

Answer 1

5 inches

Step-by-step 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:

`c=\sqrt[]{a^2+b^2}`

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:

`\begin{gathered} c=\sqrt[]{3^2+4^2} \\ c=\sqrt[]{9+16} \\ c=\sqrt[]{25} \\ c=5\text{ inches} \end{gathered}`

Therefore, the length of the diagonal from corner to corner is 5 inches.

So, the answer is 5 inches.