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cricket20 [7]
3 years ago
15

Find the length of each leg. Leave answer in simplest radical form.

Mathematics
1 answer:
arlik [135]3 years ago
5 0

Answer:

  8√2

Step-by-step explanation:

The hypotenuse of a right triangle is √2 times the leg length, so you have ...

  x\sqrt{2}=16

Dividing by the coefficient of x gives ...

  x=\dfrac{16}{\sqrt{2}}=\dfrac{16\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}=8\sqrt{2}

Each leg has length 8√2.

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