Use rectangle x and the triangle with the altitude inside (triangle x) to show that the area formula for the triangle is a = 1/2 × base × height.
a. step one: find the area of rectangle x.
b. step two: what is half the area of rectangle x?
c. step three: prove, by decomposing triangle x, that it is the same as half of rectangle x. glue your decomposed triangle onto a separate sheet of paper. glue it into rectangle x. what conclusions can you make about the triangle’s area compared to the rectangle’s area?