Use decomposition and rearranging to model the area formula of triangle C . What is the area of triangle C in square units?(1 point)

Question

Responses

20 square units
20 square units

80 square units
80 square units

20 units
20 units

40 square units

Answer 1

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