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See also the animated version.
|After doing this||Your work should look like this|
We start with two line segments AB and CD that define the altitude and the base length 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 compasses on the point C and adjust the compasses' width to the desired length CD of the base of the finished triangle|
|3. With the compasses' point on P, draw 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.|
|In the next three steps, we form the perpendicular bisctor of the base|
|6. With the compasses' width set roughly to the base length (exact width is not important), draw an arc on each side of the base line from points P and R.|
|7. Draw a line through the two arc intersections. This is the perpendicular bisector of the base, dividing it into two equal parts.|
|8. Set the compasses' width to the distance from A to B. This is the desired altitude of the triangle.|
|9. Place the point of the compasses on the midpoint of the base line, and draw an arc across the perpendicular drawn earlier. This is the third vertex of the triangle.|
|10. Draw the two side lines PQ and RQ|
|11. Done. The triangle PQR is an isosceles triangle.|