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A company is replacing cables with fiber optic lines in rectangular casing bcde. if segment de = 2.5 cm and segment be = 3 cm, what is the smallest diameter of pipe that will fit the fiber optic line? round your answer to the nearest hundredth.

Answer :

3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.

What is diameter?

  • Diameter is the full length of the circle running from the edge, through the midpoint, all the way to the other side.
  • That is this whole length right here. The diameter of a circle is represented by the letter d.

we know that

The diameter of the circle is equal to BD

Applying the Pythagoras Theorem

BD² = BE² + DE²

substitute the given values

BD² = (3)² + (2.5)²

BD² = 9 + 6.25

BD² = 15.25

BD = √15.25

BD = 3.9 cm

Therefore , 3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.

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