Math antics - area

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## I.41) parallelogram is double of a triangle if base are common and in same parallels, proof

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**How to find the area of a parallelogram**

Review of how to find the area of a parallelogram and compare it to the area of a rectangle. Created for t&l 390, spring 2012. Credits: mathematical reasoning.

### Quadrilateral where both diagonals bisect each other is a parallelogram (theorem and proof)

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### Diagonals of a parallelogram bisect each other (theorem and proof)

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### Quadrilateral having both pairs of opposite sides equal means parallelogram (theorem and proof)

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**Area of a triangle is half of base times height - elementary mathematics**

This video explains the derivation of formula for area of a triangle, that is, a1/2(b * H) where a area of triangle, blength of base of triangle, h length of height.

## Quadrilateral theorem:in a parallelogram opposite sides are equal

Quadrilateral theorem:in a parallelogram opposite sides are equal.

### Parallelogram consecutive angles

Parallelogram consecutive angles- the consecutive angles of a parallelogram (the angles that are connected by one side of the parallelogram.

**Ex optimization - maximum area of a rectangle inscribed by a parabola**

This video provides an example of how to find the rectangle with a maximum area bounded by the x-axis and a quadratic function.