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

Answer:

47.68 inches

Step-by-step 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