Use the image to answer the question.
An illustration shows a 5 by 9 grid labeled Triangle C. Triangle C is graphed on the grid.
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
10.5 square units
10.5 square units
21 square units
21 square units
10.5 cubic units
10.5 cubic units
10.5 units
To find the area of a triangle, you use the formula A=(1/2) * base * height.
Using decomposition and rearranging on the given grid of Triangle C, we can observe that it is divided into two smaller triangles, both of which are right triangles. We can calculate the area of Triangle C by adding the areas of these two smaller triangles.
The base of the triangle is 9 units and the height is 3 units. Using the area formula for a triangle, we get:
Area of Triangle C = (1/2) * 9 * 3 + (1/2) * 6 * 3
Area of Triangle C = 13.5 + 9
Area of Triangle C = 22.5 square units.
Therefore, the correct response is not provided among the options. The actual area of Triangle C is 22.5 square units, not 10.5 square units.