Last week, in Fundamental Understanding of Mathematics XLVI we took a look at triangles, and showed that the formula used to figure out the area of a triangle is correct.
Area of a triangle = Half of ( Base of the triangle x Height of the triangle )
This week we are going to take a look at a perhaps not obvious implication of this formula.
The first thing I'd like to point out is that the area of a triangle depends on the length of the base, B and it's height, H.
Since the particular shape of the triangle does NOT affect the area, any triangle with the same base and height will have the same area.
If we start with this base, and this height
any triangle we build using those two lengths will have the same area.
Since we can take a two identical triangles and use them to build a parallelogram...
we can say that any two parallelograms with the same base and height have the same area.
Have fun in the comments