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##### Asked by: Angelina Marcuse

science space and astronomy# How do you construct an equilateral triangle with a compass?

Last Updated: 17th April, 2020

**compass**point on A and measurethedistance to point B. Swing an arc of this size above (or below)thesegment. 2. Without changing the span on the

**compass**,placethe

**compass**point on B and swing the same arc,intersectingwith the first arc.

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Similarly, you may ask, how do you make an equilateral triangle with a compass?

**Method 1** **Using a Compass**

- Draw a straight line. Lay your ruler on the paper, then traceapencil along the straight edge.
- Span the segment with your compass.
- Trace a quarter-circle arc.
- Switch the compass around.
- Draw a second arc.
- Mark the point where the two arcs cross.
- Finish the triangle.

how do you construct an inscribed triangle? Bisect another **angle**. Where they cross isthecenter of the **inscribed** circle, called theincenter.**Construct** a perpendicular from the center point toone sideof the **triangle**. Place compass on the center point,adjustits length to where the perpendicular crosses the**triangle**,and **draw** your **inscribed**circle!

Just so, how do you construct an equilateral triangle without a compass?

Rotate the ruler until the mark representing thelengthof the base line touches the perpendicular bisector. If itcannottouch, extend the bisector. **Draw** the line, then repeatthisprocess to **draw** the third line. You now havea**triangle** with three congruent sides and threecongruentangles, or an **equilateral triangle**.

What is a scalene triangle?

A **scalene triangle** is a **triangle** thathasthree unequal sides, such as those illustrated above. SEEALSO:Acute **Triangle**, Equilateral **Triangle**,Isosceles**Triangle**, Obtuse**Triangle**,**Triangle**.