Your family wants to purchase a new laptop with a 17” widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don’t remember the width. Calculate and describe how you could figure out the width of the laptop to the nearest tenth inch.

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katiestars katiestars · Answer 1 · 2016-04-06T14:27:32+02:00

you would do
a^2+b^2=c^2
10^2+b^2=17^2
100+b^2=289
-100. = -100
b^2=189
√189
b=13.75
width is 13.75

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MrRoyal MrRoyal · Answer 2 · 2021-11-11T12:34:31+01:00

The size of the screen is an illustration of the Pythagoras theorem.

The width of the laptop is 13.7 inches

The given parameters are:

[tex]\mathbf{Diagonal = 17}[/tex]

[tex]\mathbf{Height= 10}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Diagonal^2 = Height^2 + WIdth^2}[/tex]

Substitute known values

[tex]\mathbf{17^2 = 10^2 + WIdth^2}[/tex]

Collect like terms

[tex]\mathbf{WIdth^2 = 17^2 - 10^2}[/tex]

[tex]\mathbf{WIdth^2 = 189}[/tex]

Take square roots of both sides

[tex]\mathbf{Width = 13.7}[/tex]

Hence, the width of the laptop is 13.7 inches