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?

The correct answer for the question that is being presented above is this one: "(4,1)."

The distance from (0,1) to (0,6) is 5 units.
The area of a triangle is 
Area = bh/2
10 = 5b/2
20 = 5b
b = 4

The distance of the base is 4 units. So, from (0,1) count 4 units to the right but on the same y coordinate. 

So the point is in (4, 1).