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jekas [21]
2 years ago
15

Find the diagonal of a square whose sides are of the given measure. Given =

Mathematics
1 answer:
Contact [7]2 years ago
6 0

Answer:

7\sqrt{42}

Step-by-step explanation:

The diagonal is the hypotenuse of the right triangle with legs 7\sqrt{3}

Use Pythagoras' identity to solve for the diagonal d

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = (7\sqrt{3})² + (7\sqrt{3})²

    = 147 + 147

    = 294 ( take the square root of both sides )

d = \sqrt{294} = 7\sqrt{42} ≈ 45.37 ( to 2 dec. places )

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