Watch help video A certain television is advertised as a 40-inch TV (the diagonal length). If the width of the TV is 24 inches, how many inches tall is the TV?

Question

asked Jul 24, 2023 26.1k views

1 Answer

Srkdb · Answer 1 · 2023-07-30T14:05:08+0000

Given data:

The given diagonal is d= 40 in.

The given width is b=24 in.

The expression for the diagonal is,

$d=\sqrt[]{b^2+h^2}$

Substitute the given values in the above expression.

$\begin{gathered} (40\text{ in)}=\sqrt[]{(24in)^2+h^2} \\ (40in)^2=(24in)^2+h^2 \\ h^2=1024in^2 \\ h=\text{ 32 in} \end{gathered}$

Thus, the height of the TV is 32 in.