The length of the diagonal of a square is 22. What is the length of each side?

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The length of the diagonal of a square is 22. What is the length of each side?

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Answer 1 · 2018-05-15T03:15:08

$11 \sqrt{2}$ $11sqrt(2)$

Explanation:

The formula for the diagonal of a square is:

$d = s \sqrt{2}$ $d = s sqrt(2)$

In this formula, $d$ $d$ represents the diagonal and $s$ $s$ represents a side length. Since we already have the length of the diagonal, we can substitute it for $d$ $d$ and solve for $s$ $s$ :

$\frac{22}{\sqrt{2}} = \frac{s \sqrt{2}}{\sqrt{2}}$ $22/sqrt(2) = (s sqrt(2))/sqrt(2)$

$\frac{22}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = s$ $22/sqrt(2) * sqrt(2)/sqrt(2) = s$

$\frac{22 \sqrt{2}}{2} = s$ $(22sqrt(2))/2 = s$

$11 \sqrt{2} = s$ $11sqrt(2) = s$

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The length of the diagonal of a square is 22. What is the length of each side?

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