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Why do you need to multiply the area of a triangle by a half?
Because - if you draw lines at right-angles from the base of a triangle vertically until they reach the highest point, then draw a horizontal line that connects those points, touching the highest point of the triangle - the area outside the triangle (but inside the resulting quadrilateral) is exactly half the area of the quadrilateral.
Why the area of a triangle is half that of a parallelogram?
If you put two of ANY triangle hypotenuse to hypotenuse the shape will have 4 sides (thus a parallelogram or quadrilateral).
How do you find the area of a 4 sided quadrilateral?
Firstly, all quadrilaterals are four sided. That is a the definition of a quadrilateral - a four sided figure. One way is to find the area of each half (i.e. two triangles) and add them together. The area of a triangle is half the length of the base times the height.
Why is the area of the triangle half the base times the height?
Because a triangle is half of a rectangle. The area of a rectangle is length times width, the area of a triangle is half that.
Which regular polygon could actually fit around a point leaving no gaps?
Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon. Triangle, quadrilateral or hexagon.
