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Find the side of a square whose diagonal is of the given measure. 12 sqrt 10 ft

User Melsauce
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Let's assume that "x" is the length of each side of the square.

We can apply the Pythagorean Theorem to find x.

Diagonal of a square can be found using the formula: d = x sqrt(2), where "d" is the length of the diagonal.

Substituting the given value of the diagonal in the above formula, we get: 12 sqrt(10) = x sqrt(2)Squaring both sides of the equation, we get: 1440 = 2x^2

Simplifying the above equation, we get: x^2 = 720

Taking the square root of both sides of the equation, we get: x = sqrt(720)

Simplifying the above expression, we get: x = sqrt(2 * 2 * 2 * 2 * 3 * 3 * 5)

Taking out the perfect squares from the square root,

we get: x = 4sqrt(5)sqrt(2)Therefore, the length of each side of the square is 4 sqrt(5) sqrt(2) feet or 8.944 feet (approx).

Hence, the answer is 8.944 feet.

User RickyAYoder
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