Question

The diagonal measurement of a tv screen is 42 inches. The base is 38 inches wide. How tall is the tv?

Answer 1

Given:

Diagonal measurement of a tv screen = 42 inches.

Base = 38 inches

To find:

The height of the tv.

Solution:

Let h be the length of the tv.

According to the Pythagoras theorem,

$hypotenuse^2=base^2+perpendicular^2$

$(42)^2=(38)^2+(h)^2$

$1764=1444+(h)^2$

$1764-1444=(h)^2$

Taking square root on both sides.

$\sqrt{320}=h$

$\sqrt{64\times 5}=h$

$8\sqrt{5}=h$

Therefore, the height of the tv is $8\sqrt{5}$ inches.