SOLUTION: Triangle TJK is a 45 degree-45 degree-90 degree triangle with right angle at J. What are the coordinates of T in Quadrant II For J(-2,-3) and K(3,-3).

Question 1011755: Triangle TJK is a 45 degree-45 degree-90 degree triangle with right angle at J. What are the coordinates of T in Quadrant II For J(-2,-3) and K(3,-3).
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If you plot the 2 points, it's obvious T is (-2,2).
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The side JT is perpendicular to the
side JK.
Find the slope of JK:
J(-2,-3) and K(3,-3)

Zero slope is a horizontal line, so any
line perpendicular to it is a vertical line
-----------------
The side JT goes through J( -2,-3 ), so
it's equation is
------------------------
The length of horizontal line JK is:

-----------
Since it's a 45-45-90 triangle, side JT also
is units long.
It's a vertical line and the x-coordinate is
Point T is:
T( -2, 5 )
Note this is in quadrant 2 also
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