Use the image to answer the question.
An illustration shows a 5 by 10 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?
To find the area of triangle C, we can decompose it into two smaller triangles by drawing a vertical line down the middle of the triangle. This creates two right triangles with sides of 3 and 3.5 and heights of 5.
The formula for the area of a triangle is 1/2 * base * height. So for each smaller triangle, the area is 1/2 * 3 * 5 = 7.5 square units. Since there are two of these smaller triangles, the total area of triangle C is 7.5 + 7.5 = 15 square units.
Therefore, the area of triangle C is 15 square units.