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Christopher has a garden in the shape of a square with a side length of 24 feet. He plans to plant tomatoes along the
diagonal. How long is the diagonal of Christopher's garden?

A - 48 Ft
B - 24 Ft
C - 24 square root of 2
D - 24 square root of 3

Sagot :

sqdancefan

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Answer:

  C - 24 square root of 2

Step-by-step explanation:

In case you haven't memorized the fact that the diagonal of a square is √2 times the side length, you can figure it from the Pythagorean theorem.

  d² = s² + s² . . . . square of hypotenuse is sum of squares of sides

  d² = 2s²

  d = s√2 = (24 ft)√2 = 24√2 ft

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