Question

Two vertices of a right triangle have coordinates (20, 15) and (20, 27) . The segment that connects these points is a leg of the triangle.

Which coordinate pair for the third vertex would create a right triangle?

​ (7, 27) ​

​ (20, 32) ​

​ (27, 20) ​

​ (20, 20) ​

Answer 1

Two vertices of a right triangle have coordinates (20, 15) and (20, 27) . The segment that connects these points is a leg of the triangle.

Which coordinate pair for the third vertex would create a right triangle?

(7, 27) ​

Answer 2

The third vertex would be (7,27)
If you used another point with an x value of 20 it would make a vertical line with the other 2 points. This leaves only 2 options. The (27,20) is not horizontal with either of the two given points.