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 the given segment lengths for the two legs L1 and L2 | ||

1 | Draw a long horizontal line | |

2 | Mark a point C somewhere near the middle of that line. | |

3 | Set the compass width to the length of one of the given legs. (Here L1). | |

4 | With the compasses on C, mark an arc on each side of C, creating points P and A | |

5 | Increase the compass width by about 25% and with the compasses on P, make an arc above the point C | |

6 | With the same compass width, and with the compasses on A, make another arc above C | |

7 | Draw a line from C through the point where the arcs intersect. | |

8 | Set the compass width to the length of the other given leg (here L2) | |

9 | With the compasses on C, draw an arc above C across the line, creating point B. | |

10 | Using the straight edge, draw the line AB | |

Done. ABC is a right triangle with the given leg lengths |

- Introduction to constructions
- Copy a line segment
- Sum of n line segments
- Difference of two line segments
- 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)
- Parallel line through a point (rhombus)
- Parallel line through a point (translation)

- Bisecting an angle
- Copy an angle
- Construct a 30° angle
- Construct a 45° angle
- Construct a 60° angle
- Construct a 90° angle (right angle)
- Sum of n angles
- Difference of two angles
- Supplementary angle
- Complementary angle
- Constructing 75° 105° 120° 135° 150° angles and more

- Copy a triangle
- Isosceles triangle, given base and side
- Isosceles triangle, given base and altitude
- Isosceles triangle, given leg and apex angle
- Equilateral triangle
- 30-60-90 triangle, given the hypotenuse
- Triangle, given 3 sides (sss)
- Triangle, given one side and adjacent angles (asa)
- Triangle, given two angles and non-included side (aas)
- Triangle, given two sides and included angle (sas)
- Triangle medians
- Triangle midsegment
- Triangle altitude
- Triangle altitude (outside case)

- Right Triangle, given one leg and hypotenuse (HL)
- Right Triangle, given both legs (LL)
- Right Triangle, given hypotenuse and one angle (HA)
- Right Triangle, given one leg and one angle (LA)

- Finding the center of a circle
- Circle given 3 points
- Tangent at a point on the circle
- Tangents through an external point
- Tangents to two circles (external)
- Tangents to two circles (internal)
- Incircle of a triangle
- Focus points of a given ellipse
- Circumcircle of a triangle

- Square given one side
- Square inscribed in a circle
- Hexagon given one side
- Hexagon inscribed in a given circle
- Pentagon inscribed in a given circle

(C) 2011 Copyright Math Open Reference.

All rights reserved

All rights reserved