Question

The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide ?

Answer 1

approximately 6.708 feet

Explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

`diagonal = √((3\,ft)^2+(6\,ft)^2) \\diagonal = √(9\,ft^2+36\,ft^2) \\diagonal = √(45) \,ft\\diagonal = 3\,√(5) \,ft`

which is approximately 6.708 feet