This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.
See also the animated version.
|After doing this||Your work should look like this|
Start with two line segments and the included angle.
|1. Mark a point A that will be one vertex of the new triangle.|
|2. Draw a ray from point A. This will become the side AB of the new triangle, so make it longer than AB.|
|3. Set the compasses' width to the length of the given side AB.|
|4. Set the compasses on A, and mark a point B on the ray just drawn.|
|5. With the compasses set to any convenient width, from the point A on the given angle, draw an arc across both lines..|
|6. Without changing the compasses' width, draw a similar sized arc at point A on the new triangle.|
|7. Set the compasses to the arc width at the given angle A. This the distance between the points where the arc intersects the sides of the angle.|
|8. Make a similar arc on the new triangle so it crosses the previous arc.|
|9. Draw a ray from A, through where the arcs intersect and onwards. This will become side AC of the triangle so make it longer than AC.|
|10. Set the compasses' width to the distance AC.|
|11. With the compasses on A, make an arc across the second ray, creating point C.|
|12. Draw the line BC, the third side of the triangle|
|Done, the triangle ABC has the desired two side lengths and included angle.|