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
21 square units
21 square units
10.5 square units
10.5 square units
10.5 cubic units
10.5 cubic units
10.5 units
The area of a triangle is given by the formula A = (1/2)bh, where b is the base length and h is the height. To decompose and rearrange this formula for triangle C, we can break it down further into two right triangles by drawing a perpendicular line from the vertex to the base. The base of each right triangle is now half of the base of triangle C, and the height is the same as the height of triangle C. Therefore, the area of triangle C can be broken down into two right triangles with areas of A = (1/2)(b/2)h.
Plugging in the values for base and height (b = 7, h = 6) given in the question, we get A = (1/2)(7/2)(6) = 10.5 square units.
Therefore, the correct answer is:
10.5 square units.