Question 738201: What are the coordinates of the point 3 units from the y-axis at a distance √5 from (5,3)?
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! This would be difficult to use the system to show a drawing and graph, but I am handling it like:
The line x=3, y=infinity,
A segment with endpoint at (5,3) and perpendicular to the line x=3, will be seen to intersect the line x=3 AT the point (3, 3).
EITHER of two points are also on the line x=3, and each of these is  from the point (5, 3), but we do not yet know the y coordinate for this point.
... BUT we DO have a triangle, actually a RIGHT triangle and we can find the length up or down from point (3, 3) using pythagorean theorem.
From (3, 3) to (5, 3) is 2 units.
From (5, 3) to (3, u) is units.
From (3, u) to (3, 3) is h
Let's find h using pythagorean theorem.
Therefore, u=3-1,  .
ANSWER: The coordinate pair for the specified point is then either (3, 2) or (3, 4).
|
|
|
