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Can a length be irrational?

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Can a length be irrational?

Yes. Whether a number has a finite decimal representation, such as 2.125, or an infinite decimal representation, such as 1/3=0.333…, has nothing to do with whether the number is finite or infinite. An irrational number can be interpreted as length. It is not contradictory.

Can a segment have a length?

Unlike a line, a line segment has a definite length. The length of a line segment can be measured either in metric units such as millimeters, centimeters, or customary units like feet or inches.

How do you draw a line segment?

Step 1: Draw a line of any length. Step 2: Mark the starting point of the line segment. Step 3: Take a ruler and place the pointer of the compass, apart from the pencil’s lead. Step 4: Place the pointer of the compass at the starting point and mark an arc on the line with the pencil point.

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Can sides of triangle be irrational?

Area of an equilateral triangle is given by √34a2. √3 is an irrational number. Since, the value of area is irrational, it means a2 can be either rational or irrational. Thus, the length of the sides can be rational or irrational.

Can the side of a square be irrational?

Specifically, the Greeks discovered that the diagonal of a square whose sides are 1 unit long has a diagonal whose length cannot be rational. By the Pythagorean Theorem, the length of the diagonal equals the square root of 2. So the square root of 2 is irrational!

What is the difference between line and line segment?

Roughly, we can say that a line is an infinitely thin, infinitely long collection of points extending in two opposite directions. A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.

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How do you determine the length of a line segment?

Answer: The length of a line segment can be measured by measuring the distance between its two endpoints. It is the path between the two points with a definite length that can be measured. Explanation: On a graph, the length of a line segment can be found by using the distance formula between its endpoints.

What is a line segment draw a line segment?

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

How do you draw the length of a line segment?

The steps for constructing a line segment of given length are given in a jumbled order below:

  1. Draw an arc on the line by keeping the pointed end of the compass on the point A.
  2. Draw a line.
  3. Extend the compass by keeping one end on the 0 cm mark and other at the given length on the ruler.
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How do you draw a line segment of length 6.3 cm?

Draw a line segment of length 6.3 CM draw on other parallel lines to it at a distance of 3 cm from it

  1. to create F and E ,take radius 3cm at pint b and intersect at point F.
  2. similarly take radius of 3cm and place it at A and E.

Is the hypotenuse an irrational number?

The discovery of irrational numbers is often attributed to the ancient Greek philosopher Hippasus of Metapontum, who was a Pythagorean mathematician. He used an isosceles right-angled triangle like the one shown below to prove that the measure of the hypotenuse was an irrational number.