Question

a square has a diagonal that is equal to 25cm with this information identify: the perimeter of the square

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Santino

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75 Answers

1. Use the Pythagorean theorem to find the side length (a) of the square:

a^2 + a^2 = 25^2

2a^2 = 625

a^2 = 312.5

a = \sqrt{312.5}

a \approx 17.68 \text{ cm}

2. Calculate the perimeter of the square:

P = 4a

P = 4 \cdot 17.68

P \approx 70.72 \text{ cm}

Thus, the perimeter of the square is approximately:

70.72 \text{ cm}

2. Calculate the perimeter of the square:

Thus, the perimeter of the square is approximately:

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