How do you find the third vertex?

Mathematics
Tutor: None Selected Time limit: 1 Day

In the xy-plane, a certain triangle has an area of 4. If two of the vertices have coordinates (5,6) and (5,8),respectively,  what is one possible value for the x-coordinate of the third vertex?

The answer is 1 or 9 but I'm not sure how they arrived at this answer.

Apr 26th, 2015

The area of the triangle is 4 = Area= 1/2bh

                                             4=1/2*2*h...........base is 2  points (5,6) and (5,8) y has gone up by 2 points

                                             4=h

                                             .h is the height of the triangle , so x goes 4 points either  way

                                              so  the points  on the x coordinate will be either be x= 5-4=1 or x= 5+4=9

Apr 26th, 2015

Hi assignment done.

Thank you.

Apr 26th, 2015

Hi assignment done.

Thank you.

Apr 26th, 2015

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