Question

Joseph owns a 50 inch TV and it measures 50 inch on the diagonal. if the television is 40 inches across the bottom find the height of the TV

Answer 1

Let's draw the tv with the given values.

Note that we will form a right triangle with heigh of h, base of 40 and a hypotenuse of 50.

The Pythagorean Theorem is :

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

where c is the hypotenuse, a and b are the legs of the triangle.

Using the formula above. we will have :

`\begin{gathered} 50^2=40^2+h^2 \\ 2500=1600+h^2 \\ h^2=2500-1600 \\ h^2=900 \\ \sqrt[]{h^2}=\sqrt[]{900} \\ h=30 \end{gathered}`

The answer is 30 inches