Question

two vertices of a right angle have coordinates (3,7) and (3,10). The segment that connects these points a leg of the triangle. which set of coordinates for the third vertex would create a right triangle?

Answer 1

(x,7) or (x,10)

Explanation:

It is given that two vertices of a right triangle have coordinates (3, 7) and (3, 10), we can see that the x-coordinate is same for both vertices, therefore it is a vertical line and thus base of the right angle triangle.

We need to find the height of this triangle which will be perpendicular to this line, so the value of y-coordinate of third point must be either 7 or 10.

Example

(8,7)