After doing this	Your work should look like this
We start with two line segments AB and CD that define the lengths of the legs and the base of the triangle.
1.  Draw a point P that will become one end of the base of the triangle.
2.  Place the point of the compass on the point C and adjust the compass width to the desired length CD of the base of the finished triangle
3.  With the compass point on P, make an arc.
4.  Pick a point R anywhere on the arc. This will become the other end of the base of the triangle.
5.  Draw the base line PR.
6.  With the compass point on B, set its width to the desired side length - AB
7.  Without changing the compass, make two intersecting arcs - one from P, the other from R to define the third vertex, Q, of the triangle.
8.  Draw the two side lines PQ and RQ
9.  Done. The triangle PQR is an isosceles triangle.

Constructions pages on this site

Lines

• Introduction to constructions
• List of printable constructions worksheets
• Copy a line segment
• Perpendicular bisector of a line segment
• Perpendicular from a line at a point
• Perpendicular from a line through a point
• Perpendicular from endpoint of a ray
• Divide a segment into n equal parts
• Parallel line through a point (angle copy method)
• Parallel line through a point (rhombus method)

Angles

• Bisecting an angle
• Copy an angle
• Construct a 30° angle
• Construct a 45° angle
• Construct a 60° angle
• Construct a 90° angle (right angle)
• Constructing  75°  105°  120°  135°  150° angles and more

Triangles

• Copy a triangle
• Isosceles triangle, given base and side
• Isosceles triangle, given base and altitude
• Equilateral triangle
• Triangle medians
• 30-60-90 triangle, given the hypotenuse
• Triangle, given 3 sides (sss)
• Triangle, given one side and adjacent angles (asa)
• Triangle, given two sides and included angle (sas)
• Incircle of a triangle
• Circumcircle of a triangle

Triangle Centers

• Triangle incenter
• Triangle circumcenter
• Triangle orthocenter
• Triangle centroid

Circles, Arcs and Ellipses

• Finding the center of a circle
• Circle given 3 points
• Tangent at a point on the circle
• Tangents through an external point
• Focus points of a given ellipse

Polygons

• Hexagongiven one side
• Hexagon inscribed in a given circle
• Pentagon inscribed in a given circle

Non-Euclidean constructions

• Construct an ellipse with string and pins
• Find the center of a circle with any right-angled object