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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. 3.54 cm 3.91 cm 4.24 cm 4.95 cm

A company is replacing cables with fiber optic lines in rectangular casing BCDE If segment DE 25 cm and segment BE 3 cm what is the smallest diameter of pipe th class=

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Answer:

[tex]\Huge \boxed{\mathrm{3.91 \ cm}}[/tex]

Step-by-step explanation:

The triangle BDE is a right triangle.

Line segment DE = 2.5 cm

Line segment BE = 3 cm

We can apply Pythagorean theorem to solve for the diameter of the pipe or the hypotenuse of the right triangle BDE.

[tex]c=\sqrt{2.5^2 +3^2 }[/tex]

[tex]c=\sqrt{15.25} = 3.90512483795...[/tex]

We can round up the length to nearest hundredth.

[tex]3.90512483795 \approx 3.91[/tex]

The diameter of the pipe is 3.91 cm.

The smallest diameter of pipe that will fit the fiber optic line is 3.91 cm if the company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 2.5 cm and segment BE = 3 cm option (B) is correct.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

We have:

A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 2.5 cm and segment BE = 3 cm.

As we know, the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides is known as the Pythagoras theorem.

Applying Pythagoras theorem in the triangle DEB:

DE² + BE² = DB²

2.5² + 3² = DB²

DB² = 6.25 + 9

DB² = 15.25

DB = 3.905 ≈ 3.91 cm

Thus, the smallest diameter of pipe that will fit the fiber optic line is 3.91 cm if the company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 2.5 cm and segment BE = 3 cm option (B) is correct.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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