How To Draw An Equilateral Triangle With A Ruler

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An equilateral triangle has three sides of equal length, connected by three angles of equal width. It can exist challenging to draw a perfectly equilateral triangle by hand. Notwithstanding, yous can employ a circular object to mark out the angles. Make sure to use a ruler to get the lines straight! Go along reading to learn how to describe ane.

1. i

   Draw a straight line. Lay your ruler on the paper, then trace a pencil along the straight edge. This line segment will grade i side of your equilateral triangle, which ways that yous will need to draw two more than lines of exactly the aforementioned length, each reaching toward a point at a 60° angle from the first line. Brand sure that you have plenty of room to draw all 3 sides!^[1]

2. ii

   Bridge the segment with your compass. Slide a pencil into your compass, and make sure that it'south abrupt! Put the point of your compass at one end of the segment, and set the pencil bespeak at the other.

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3. iii

   Trace a quarter-circle arc. Practice non adjust the betoken of the compass, and do not modify the set "width" of the tool from the compass point to the pencil point. Swing the pencil-point of the compass in a quarter-circumvolve upward and away from the line segment.^[two]

4. four

   Switch the compass around. Without changing the width of the compass spread, move the point of the compass to the other end.

5. v

   Depict a 2nd arc. Carefully swing the pencil-indicate of the compass so that the new arc crosses over the first arc that y'all drew.

6. 6

   Marker the point where the ii arcs cantankerous. This is the apex (the "top" indicate) of your triangle. Information technology should lie at the verbal center of the line segment that you've drawn. Y'all can at present describe two straight lines leading to this point: 1 from each end of the "lesser" line segment.^[3]

7. 7

   Finish the triangle. Utilise a ruler to draw two more straight line segments: the remaining sides of the triangle. Connect each end of the original line segment to the point at which the arcs cross. Make sure that the lines are straight. To finish the job, erase the arcs that you lot drew so that only the triangle remains!^[4]

   • Consider tracing this triangle onto another page. This manner, you can outset fresh with a clean shape.
   • If you need a bigger or a smaller triangle, echo the procedure but adjust the length of the original line segment. The longer the sides, the bigger the triangle!

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If you don't have admission to a compass or a protractor, you tin can employ an object with a circular base to trace out an arc instead. This method is substantially the aforementioned as using a compass, but you will need to be smart about it!

1. i

   Cull your round object. Use almost any cylindrical object with a circular base, similar a bottle or a soup can. Attempt using a round curl of tape or a CD. If you are going to substitute the arc of this object for the arc of a compass tracer, y'all'll need to cull an object of the right size. In this method, each side of the equilateral triangle will be equally long every bit the radius (half the bore) of the round object.

   • If yous utilize a CD as your object: imagine an equilateral triangle that fits into the pinnacle-right quadrant of a CD.

2. ii

   Draw the first side. It should exist exactly equally long every bit the radius of the round object – the distance halfway beyond. Make sure that information technology is perfectly straight!

   • If yous have a ruler: simply measure out the bore of the object and depict a line that is one-half equally long.
   • If you lot don't have a ruler: place the round object onto a sheet of paper, then advisedly trace the circumference with your pencil. Remove the object, and you lot should accept a perfect circle. Utilize a direct edge to draw a line across the exact center of the circle: the point that is completely equidistant from any bespeak effectually the circumference of the circumvolve.

3. 3

   Use the circular object to trace an arc. Place the object over the line segment, with the border of the circle resting at 1 end of the line. For accuracy, brand sure that the line cleaves through the exact center of the circle. Use your pencil to trace an arc: roughly one-quarter of the way around the perimeter of the circle.^[5]

4. 4

   Trace another arc. Now, shift the circular object so that the border touches the other end of the line segment. Brand sure that the line segment runs through the verbal heart of the circle. Draw another quarter-arc that crosses the offset arc at a signal straight to a higher place the line segment. This point is the noon of your triangle.

5. v

   Consummate the triangle. Draw the remaining sides of the triangle: two more straight lines will connect the noon with the ii open up ends of the line segment. Now, you should take a perfectly equilateral triangle!

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1. 1

   Depict the first side. Use a ruler or the straight edge of your protractor to trace a straight line segment of an appropriate length. This line segment will get the first side of your triangle, and each of the other sides will be just every bit long – so make certain that it's the right size!

2. 2

3. 3

   Trace the second side. Measure out a new line segment that is equal in length to the kickoff. Start it at one cease of the original line segment, where you measured the 60° bending. Commencement from the vertex (the bespeak) of the bending, and trace the straight edge of the protractor until you reach the side by side "indicate."^[6]

4. 4

   Finish the triangle. Apply the straight edge of your protractor to trace out the final side of the triangle. Connect the point at the end of the second line segment to the unattached stop of the first line segment. Yous should at present accept an equilateral triangle.

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Add together New Question

• Question

  How would I draw an equilateral triangle with iii lines in it forming half dozen right angles?

  

  Assuming you know the length of each of the iii given lines (and all three lines are of equal length), this is not a difficult construction. First draw whatsoever line, then draw a line segment perpendicular to the first line. On that line segment, mensurate off the given line length. At the finish of the line segment, use a protractor to grade 30° angles on either side of the line segment. Extend the new lines to intersect the offset line you drew. This volition complete an equilateral triangle. (Each of the other two given lines will bisect one of the other angles and be perpendicular to the opposite side.)

• Question

  How do I construct a trapezoid?

  

  Draw two parallel lines. Draw a tertiary line intersecting the first ii lines. Draw a fourth line also intersecting the first two lines, but not intersecting the third line betwixt the 2 lines and non parallel to the third line.

• Question

  How do I construct an equilateral triangle inscribed in a circumvolve?

  

  The easiest way is to use a protractor to depict 3 120° angles effectually the middle of the circumvolve, and then connect the iii points on the circle where the three angles intersect the circumference. That will result in an inscribed equilateral triangle.

• Question

  What is an " noon" in an equilateral triangle?

  

  "Noon" refers to the "peak" bending of a triangle with a horizontal (or near-horizontal) base.

• Question

  How exercise I draw an equilateral triangle inside a circumvolve?

  

  Assuming you know or tin discover the center of the circle, draw 3 radii 120° apart (using a protractor). Using the three points where the radii intersect the circle, draw iii straight lines connecting the points of intersection. These three lines form an equilateral triangle inscribed within the circle.

• Question

  I know what an apex is and I am sure there is no apex when you draw an equilateral triangle (or maybe three). Why is this discussion used in the article?

  

  "Apex" is used hither to refer to the highest vertex in the triangle (as oriented in the accompanying illustrations).

• Question

  I was drawing an equilateral triangle intersecting a circle; none of the above methods helped. How tin can I?

  

  Draw the circle. Find its center. With a protractor at the center, draw three central angles of 120°. Note the three points where the rays of the angles intersect the circle'southward circumference. Connect those three points with three directly lines, forming an equilateral triangle.

• Question

  How exercise I create an equilateral triangle using simply a ruler?

  

  You really need to use i of the methods shown in a higher place. You could apply just a ruler if you're willing to try to use the ruler as a compass. That'due south a piffling awkward, so you lot should really go a compass or a protractor.

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• Use a compass that has a lock to ensure that you don't unintentionally change the spread of the compass.

• Don't make the compass lines dark; you desire them to be sparse so you tin can easily erase them later.

• The compass method is usually more precise every bit it does not rely on the right measurement of angles.

Thank you for submitting a tip for review!

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• Don't mark the surface beneath the newspaper.

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Things Y'all'll Demand

• A pair of compasses (the type used for mathematical constructions, not the North/South blazon)
• Something to put nether the compass so the indicate doesn't slip
• A ruler
• A pencil (attempt not to utilize mechanical pencils, they may not fit into the pencil holder on the compass). Also make sure it is precipitous, not blunt.

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Commodity Summary X

To draw an equilateral triangle, showtime by laying a ruler on a piece of paper and drawing a direct line. Next, insert a compass at an stop of the line y'all've merely drawn and put a pencil at the other. Trace a quarter circle with the pencil stop of the compass moving upwards, then switch the ends of the compass around. To form the apex, draw a second arc with the pencil so information technology crosses over the start arc. Finish by cartoon 2 straight lines up to the apex for the triangle's sides and erasing the arcs so merely the triangle can exist seen. For tips on how to draw an equilateral triangle using a protractor, keep reading!

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