Question

Television is measured by the diagonal. A 55-inch tv has an actual diagonal length of 54.8 inches. Its height is 27 inch Mr.Schlagers entertainment center is 49 inches wide will the tv fit the entertainment center?

Answer 1

47.68 inches

Explanation:

As seen in the diagram attached below we can see that the tv is a rectangle. We are given the diagonal and the height which means we have to find the length. Since the tv diagonal forms a right triangle we can use the Pythagorean theorem to solve for the length. This theorem would be the following.

`a^(2) + b^(2) = c^(2)`

where a and b are the sides of the triangle and c is the diagonal.

`27^(2) + b^(2) = 54.8^(2)`

`729 + b^(2) = 3,003.04`

`b^(2) = 2,274.04`

`b = 47.68`

Finally, we can see that the length of the TV is 47.68 inches