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What is the length of the diagonal of a square monitor that is 16 inches wide and 16 inches high?

User AIMABLE
by
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1 Answer

3 votes

Answer:

22.63 inches

Explanation:

Length of the square monitor = 16 inches

Width of the square monitor = 16 inches

Let the diagonal of the monitor = l inches

Then the square of the diagonal is given by sum of the squares of length and width.


\[l^(2)=16^(2)+16^(2)\]


\[=> l^(2)=256+256\]


\[=> l^(2)=512\]


\[=> l=√(512)\]


\[=> l=22.63\]

Hence the length of the diagonal is 22.63 inches.

User Demiurg
by
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