A Rectangle with vertices A, B, C, AND D. The triangle is divided with vertices P AND Q. How many right triangles can you make with using only three of the vertices {A, B, C, D, P, OR Q}. Also The answer is not 12 or 16. Our teacher gave us this hints
To solve this problem, let's analyze the given information step by step.
1. We have a rectangle with vertices A, B, C, and D.
2. The triangle is divided by vertices P and Q. We can assume that P is on one side of the rectangle, and Q is on a different side.
Now, let's try to find the right triangles that can be formed using the given vertices.
1. A right triangle can be formed using three consecutive vertices of the rectangle. For example, we can have a right triangle formed by vertices A, B, and C or B, C, and D. Similarly, we can also have right triangles formed by vertices C, D, and A or D, A, and B. So, these four right triangles are formed using only the vertices of the rectangle.
2. Now, we need to consider the vertices P and Q. As P is on one side of the rectangle and Q is on a different side, we cannot form any right triangles using only these two points.
So, combining the right triangles formed using the rectangle's vertices and triangle vertices, we have a total of four right triangles (formed by A, B, C; B, C, D; C, D, A; D, A, B).
Finally, according to the hints given to you, the answer is not 12 or 16. Therefore, the correct answer must be 4 (as calculated above).