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प्रश्न
It (2, –2) and (5, 2) are opposite vertices of a square, then the length of the side of the square is ______.
रिकाम्या जागा भरा
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उत्तर
It (2, –2) and (5, 2) are opposite vertices of a square, then the length of the side of the square is `underlinebb(5sqrt(2))`.
Explanation:
1. The distance between the opposite vertices is the diagonal:
`d = sqrt((5 - 2)^2 + (2 - (-2))^2)`
= `sqrt(3^2 + 4^2)`
= 5
2. For a square,
Side = `"Diagonal"/sqrt(2)`
So side = `5/sqrt(2)`
= `(5sqrt(2))/2 ≈ 3.535`
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