How to Construct a Right Isosceles Triangle With Compass

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Sometimes you will need to draw an isosceles triangle given limited information. We use one of those 45 degree angles to get the result we need.


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It works by constructing an isosceles right triangle which has interior angles of 45 45 and 90 degrees.

. See the proof below for more details. This page shows how to construct a line parallel to a given line that passes through a given point with compass and straightedge or ruler. An isosceles triangle is a triangle with two equal side lengths and two equal angles.

It uses this in reverse - by creating two equal corresponding angles it. If you know the side lengths base and altitude it is possible to do this with just a ruler and compass or just a compass if you are given line segments. It is called the angle copy method because it works by using the fact that a transverse line drawn across two parallel lines creates pairs of equal corresponding angles.

This page shows how to construct draw a 45 degree angle with compass and straightedge or ruler.


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