We are given lengths: base a, height h and side b and vertex point B
- Draw top of parallelogram:
Draw segment from B of length a so that |\overline{AB}| .
- Draw height of parallelogram:
Draw line through B perpendicular (normal) to \overline{AB} .
Draw circle with center B and radius h.
Find intersection point of this circle and the perpendicular. Rename point H.
- Draw base line (parallel to |\overline{AB}| )
Draw line through H perpendicular to the perpendicular.
- Draw third vertex (find side)
- Draw circle e with center B and radius b.
- Find intersection point C of this circle and base line.
- Draw fourth vertex
- Draw circle f with center C and radius a.
- Find intersection point D of this circle and base line.
- Draw parallelogram
Draw segments \overline{BC} , \overline{CD} and \overline{DA} .
Check construction:
Click and drag free points A and B. ABCD should remain a parallelogram. Click and drag sliders. ABCD should change in size, but remain a parallelogram.Save construction.
Extras:
- Draw line segment from B to H.
- Change color and thickness/line styles of all lines in construction to make more readable.
- Write dynamic formulas for perimeter and area: Input LL=2*a+2*b (enter) and Input AA=a*h (enter).
- Write dynamic text for formulas:
"Perimeter = "+LL (enter) and "Area = "+AA (enter).
Related themes:
