Question 986656
G and H form the hypotenuse of either of two right triangles.  Look at the two points on a cartesian system.  The third point may be either  (-3,-2), or alternatively (3,2).  Either choice, G, and H, and either of the third point form a RIGHT TRIANGLE.  You can use Pythagorean Theorem formula  to find length GH.


Taking the third point as T(-3,-2), your triangle has legs of lengths  4 and 6;  look at the placements and coordinates of the points on your cartesian system for the plotted T, G, and H.  The hypotenuse GH  will be {{{sqrt(4^2+6^2)}}}.


Look in your book if you want to see a derivation of the Distance Formula.  It is essentially a form of the Pythagorean Theorem.