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Constructing a 30°- 60°- 90° triangle
Geometry construction using a compass and straightedge
This page shows to construct (draw) a
30 60 90 degree triangle
with compass and straightedge or ruler. We are given a
line segment
to start, which will become the
hypotenuse
of a 30-60-90 right triangle. It works by combining two other constructions: A
30 degree angle, and a
60 degree angle.
Because the
interior angles
of a triangle always add to 180 degrees, the third angle must be 90 degrees.
Printable step-by-step instructions
The above animation is available as a
printable step-by-step instruction sheet, which can be used for making handouts
or when a computer is not available.
Try it yourself
Click here for a printable worksheet containing 30-60-90 triangle exercises.
When you get to the page, use the browser print command to print as many as you wish. The printed output is not copyright.
Constructions pages on this site
Lines
Angles
Triangles
Triangle Centers
Circles, Arcs and Ellipses
Polygons
Non-Euclidean constructions
(C) 2009 Copyright Math Open Reference. All rights reserved
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