The coordinates of two vertices of triangle DEF are D(-5,5) and E(9,8). Determine two possible coordinates for for F that would make DEF a right triangle ?

Question

ans:

slope DE
= 8-5 / 9 - (-3)
= 3/12

I don't know this part :how to Determine two possible coordinates for for F that would make DEF a right triangle ?

Answer 1

just make DE the hypotenuse, and consider horizontal and vertical legs.

(-5,5),(9,5),(9,8)
or
(-5,5),(-5,8),(9,8)

Trying to make DE one of the legs makes things a lot harder.