Posted by willy on Wednesday, February 22, 2012 at 1:17pm.
Assume triangle JKL is in the first quadrant, with the measure of angle K = 90°. Suppose triangle JKL is a 45°45°90° triangle and segment JK is one of the legs. What are the coordinates of point L?

not enough information  Damon, Wednesday, February 22, 2012 at 1:24pm
That triangle could be anywhere in the first quadrant and you have not told us the length of any side of the triangle.

geometry  willy, Wednesday, February 22, 2012 at 1:31pm
j(2.7) point
k(2,2) point
and the answers are,
a(2,2)
b(6,2)
c(7,2)
d(3,2) 
geometry  Damon, Wednesday, February 22, 2012 at 1:37pm
L could be 5 units to the right of K or to the left of K at the same level or y coordinate
so L could be (7,2) or L could be (3,2)
However (3,2) is not in the first quadrant
so
(7,2)