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.

`√(320)=h`

`√(64* 5)=h`

`8√(5)=h`

Therefore, the height of the tv is
`8√(5)` inches.