Use decomposition and rearranging to model the area formula of triangle C . What is the area of triangle C in square units?(1 point)
Responses
20 square units
20 square units
80 square units
80 square units
20 units
20 units
40 square units
To model the area formula of triangle C, we can decompose the triangle into two right-angled triangles and then rearrange them to form a rectangle.
Let the base of the triangle be b and the height be h.
Area of triangle C = 1/2 * base * height
Now, decompose triangle C into two right-angled triangles with base b and height h/2.
Each right-angled triangle has a base of b and a height of h/2.
Now rearrange the two right-angled triangles to form a rectangle with dimensions b and h.
Area of rectangle = base * height = b * h
Therefore, the area of triangle C is the same as the area of the rectangle, which is b * h.
Therefore, the area of triangle C is 20 square units.
Correct response: 20 square units