Two vertices of a right triangle are (0,1) and (0,6). the area of the triangle is 10 square units. which point could be the third vertex of the triangle? a (5,6) b (6,6) c (-5,1) d (-4,1)

1. To solve this problem, you must follow the proccedure shown below:

 2. The problem gives the following information:

 - Two vertices of a right triangle are (0,1) and (0,6).
 - The area of the triangle is 10 units².

 3. When you plot the points, you can see that the vertices given form the heigth of the triangle:

 h=5 units

 4. Now, you must apply the formula for calculate the area of a triangle and clear the base, as below:

 A=bxh/2
 b=2A/h
 b=2(10 units²)/5 units
 b=4

 5. Therefore, the correct answer is the option D: D (-4,1)