Question

A 14 -inch laptop has a screen that is 7 inches tall. How wide is the screen?

Answer 1

Step-by-step explanation:

The laptop screens are measured diagonally. Meaning a 13 the laptop has a distance of 14 inches from one corner to the other.

Therefore, to find the width of the laptop screen, we use Pythagoras's theorem.

`7^2+w^2=14^2`

Now subtracting 7^2 from both sides gives

`w^2=14^2-7^2`
`w^2=147`

taking the square root of both sides gives

`w=√(147)`

the radical on the right can be simplified to give

`\boxed{w=7√(3)}`

which is our answer!

Hence, the laptop screen is 7√3 inches wide.