Question

A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television rounded to the nearest tenth?

(Use the Pythagorean Theorem)

Answer
inches

Answer 1

Answer: 43.3 inches.

Explanation:

According to the Pythagorean Theorem:

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

Where "a" is the hypotenuse, and "b" and "c" are the legs of the right triangle.

Let be "c" the width of the television.

We can indentify in the figure that:

`a=50in\\b=25in`

Then, we can substitute values and solve for "c":

`(50in)^2=(25in)^2+c^2\\\\c=√((50in)^2-(25in)^2)\\\\c=43.30in`

Rounded to the nearest tenth:

`c=43.3in`