IM 6.1.8 Practice: Area of Triangles

To find the area of this right triangle, Diego and Jada used different strategies.
Diego drew a line through the midpoints of the two longer sides, which decomposes the triangle into a trapezoid and a smaller triangle. He then rearranged the two shapes into a parallelogram.[br][img]data:image/png;base64,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[/img][br]Jada made a copy of the triangle, rotated it, and lined it up against one side of the original triangle so that the two triangles make a parallelogram.[br][img]data:image/png;base64,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[/img][br]Explain how Diego might use his parallelogram to find the area of the triangle.
Explain how Jada might use her parallelogram to find the area of the triangle.
Find the area of the triangle below. Explain or show your reasoning.
Find the area of the triangle below. Explain or show your reasoning.
Which of the three triangles has the greatest area? Show your reasoning. If you get stuck, try using what you know about the area of parallelograms.
Which of the three triangles has the greatest area?
Draw an identical copy of each triangle such that the two copies together form a parallelogram.
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area?
A parallelogram has a base of 3 units and an area of 1.8 square units. What is the corresponding height for that base?
A parallelogram has an area of 20.4 square units. If the height that corresponds to a base is 4 units, what is the base?
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Information: IM 6.1.8 Practice: Area of Triangles