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

Answer 1

Let's call the base of the triangle b and the height h.

The area of a triangle can be calculated using the formula A = 1/2 * base * height.

Since triangle C is divided into two smaller triangles, we can decompose it as follows:

Area of triangle C = Area of triangle A + Area of triangle B

Area of triangle A = 1/2 * b * h
Area of triangle B = 1/2 * (b + b) * (h/2) = 1/2 * 2b * (h/2) = 1/2 * b * h

Substitute the areas of triangle A and B back into the formula for the area of triangle C:

Area of triangle C = 1/2 * b * h + 1/2 * b * h = 1/2 * 2b * h = b * h

Therefore, the area of triangle C is equal to the base multiplied by the height in square units.