The answers include the following:
- The figure of Diego's strategy shows that the area of the triangle equals the area of the parallelogram which is therefore 12ft.
- The two triangles forms a parallelogram therefore calculating the area of only half of the parallelogram will be 12ft too.
What is a Triangle?
This is referred to as a plane figure which consists of three edges and three vertices.
The figure of Diego's strategy shows that the area of the triangle equals the area of the parallelogram.
Area of parallelogram = base × height
= 3×4 = 12ft.
The two triangles form a parallelogram, but we want the area of only half of the parallelogram which means
3× 8/2 = 12ft which is the area of the triangle.
Read more about Parallelogram here https://brainly.com/question/970600
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The complete question is:
To find the area of this right triangle, Diego and Jada used different strategies. Diego drew a line thorugh 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, shown in the first figure below.
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. Second figure below shows Jada's strategy.
1. Explain how Diego might use his parallelogram to find the area of the triangle.
2. Explain how Jada might use his parallelogram to find the area of the triangle.
