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A Nintendo Switch handheld game has a screen that is 4 inches tall and 9.4 inches long, what is the diagonal distance across the screen? A. 13.4 inchesB. 10.22 inchesC. 9.4 inchesD. None of the above

A Nintendo Switch Handheld Game Has A Screen That Is 4 Inches Tall And 94 Inches Long What Is The Diagonal Distance Across The Screen A 134 InchesB 1022 InchesC class=

Sagot :

EXPLANATION:

To calculate the diagonal distance we must follow the following steps:

-The length corresponds to the horizontal dimension of the screen.

-The height corresponds to the vertical dimension of the screen.

Now we must apply Pythagoras' theorem

[tex]\begin{gathered} a^2+b^2=c^2 \\ a=4 \\ b=9.4 \\ c=diagonal\text{ distance} \\ a^2+b^2=c^2 \\ (4)^2+(9.4)^2=c^2 \\ 16+88.36=c^2 \\ 104.36=c^2 \\ \sqrt[]{104.36=c} \\ c=10.21 \\ \text{ANSWER: 10.21 Inches} \end{gathered}[/tex]