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I want to build a right triangular deck behind my house. The hypotenuse of the deck will be 50 feet long. The other two sides of the deck will be equal in length. What is the length of a side of the deck? Round your answer to the nearest hundredth.

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sqdancefan

Answer:

  35.36 ft

Step-by-step explanation:

For an isosceles right triangle, the hypotenuse is √2 times the length of one side. So, the length of one side of your deck is ...

  (50 ft) = √2 × side length

  (50 ft)/√2 = side length ≈ 35.36 ft

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