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Answer the following problems dealing with special right triangles on a
coordinate axes.
You may wish to use graph paper for some of the questions.
| 1. |
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The segment
connecting point A(1,2) to point B(4,2) is one
side of a 30º-60º-90º triangle,
 , but you
do not know which side. It could be the shorter leg, the
longer leg or the hypotenuse.
How many 30º-60º-90º triangles can be drawn
under these conditions?
For each triangle, state:
• the coordinates of point C.
• the lengths of the 3 sides. |
| 2. |
 is a
45º-45º-90º triangle. If point A
is at (-2,1), point P
is at (6,1), and the right angle is at P, find all
possible coordinates of point M
which lie above
 . |
| 3. |
is a 30º-60º-90º triangle with the right angle at U and
the longer leg
 . If
point U is at (-4,-5) and point
G is at (-4,6), find all possible
coordinates of point B which lie to the right of
. |
| 4. |
 is a
45º-45º-90º triangle with the right angle at A.
Find all possible coordinates of point A in Quadrant I,
if B is at (3,-1) and C is at (3,5). |
| 5. |
 is
a 30º-60º-90º triangle with the right angle at Y.
Find all possible coordinates of point X, if point Y
is located at (-1, 4) and Z is at (11,4).
Assume X will lie above
 .
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