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Question 1

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A carpet is in the shape of a right triangle. The longer leg
measures 8 feet. The hypotenuse is 4 feet more than the
length of the shorter leg. How long is the shorter leg?
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1 Answer

4 votes

Answer:

  • 6 feet

Explanation:

Given right triangle with:

  • Legs s and 8, and hypotenuse s + 4

Use Pythagorean and solve for s:

  • (s + 4)² = s² + 8²
  • s² + 8s + 16 = s² + 64
  • 8s = 64 - 16
  • 8s = 48
  • s = 6
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