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djverab [1.8K]
3 years ago
9

The diagonal of a square is 8 cm. What is the length of the side of this square? Give your answer as an exact surd in its simple

st form.
Mathematics
1 answer:
olga55 [171]3 years ago
4 0

Answer:

4\sqrt{2} cm

Step-by-step explanation:

The diagonal divides the square into 2 right angles with legs s and the diagonal as the hypotenuse.

Using Pythagoras' identity in the right triangle , then

s² + s² = 8²

2s² = 64 ( divide both sides by 2 )

s² = 32 ( take the square root of both sides )

s = \sqrt{32} = 4\sqrt{2}

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