Search Results for “Parallelogram”
Area of a Parallelogram
This app allows you to compare areas of a parallelogram and a rectangle in order to discover the formula for the area of the parallelogram.
Parallelogram area
Points E, F, G, H are proportion p along line segments AB, BC, CD, DE respectively. How does the ratio of the shaded parallelogram to the area of ABCD depend on p?
Euclids Elements – Book 1 – Proposition 42
To construct, in a given rectilineal angle, a parallelogram equal to a given triangle. In other words, given angle D and triangle ABC (in blue), construct a parallelogram (in yellow) that has an equal area to triangle ABC.
Pythagoras generalization
A generalization of the Pythagorean Theorem, known to the ancients. The purple parallelogram is the same area as the two blue ones combined. Can you see why Pythagoras is a special case of this theorem?
Euclids Elements - Book 1 - Proposition 45
Creating a parallelogram equal to a given quadrilateral with a given angle.
Euclid Book 6 Proposition 1
Triangles and parallelograms which are under the same height are to one another as their bases
Euclid Book 1 Proposition 36
Parallelograms which are on equal bases and in the same parallels are equal.
Euclid Book 1 Proposition 35
Two parallelograms on the same base and between the same parallel lines have the same area
Area of a Trapezoid
This app allows you to compare areas of an arbitrary trapezoid and a parallelogram in order to discover the formula for the area of the trapezoid.
