Use the triangle angle bisector theorem.
4.9/2.6 = AC/3.4
2.6AC = 4.9 × 3.4
AC = 6.40769...
a drawing really does here:
so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be). so point b is at (-2,2). point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).
now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.
we have the area of the triangle is .5bh=12.5
we know the base length is 5 (ab)
we have the height is (2-y) if you look at your
solve for y to get the y-coordinate for c
divide both sides by 2.5 giving:
now subtract 2 on both sides
you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.