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

User Janine
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Answer:

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.

A 14 -inch laptop has a screen that is 7 inches tall. How wide is the screen?-example-1
User TylerH
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