To Find the Area of a Triangle by Discovery.
To Investigate the different types of Triangles.
(A). Han made a copy of Triangle M and composed three different parallelograms using the original M and the copy.
(1). For each parallelogram Han composed, identify a base and a corresponding height, and write the measurements on the drawing.
(2). Find the area of each parallelogram Han composed. Show your reasoning.
(B). Find the areas of the triangles below. Show your reasoning.
(C). Find the area of the parallelogram below. Show your reasoning.
(D). Take the small triangle and the trapezoid, and rearrange these two pieces into a different parallelogram. Find the area of the new parallelogram you composed. Show your reasoning.
(1). How do you think the area of the large triangle compares to that of the new parallelogram: Is it larger, the same, or smaller? Why is that?
(2). Find the area of the large triangle. Show your reasoning.
Find the estimated area of the triangle below by counting the enclosed squares. Hint: Count only squares that have most part enclosed within the figure.