The document contains 5 math problems: 1) Find the distance between points (5,2) and (1,5). 2) Find the value of x if point P1(x,0) is equidistant from P2(0,-6) and P3(6,3). 3) Draw a triangle with vertices P1(4,7), P2(3,2), P3(-1,5) and find its lengths and type. 4) Show that points P1(-1,7), P2(5,7), P3(2,1) form an isosceles triangle. 5) Show that the triangle with vertices P1(-5,7), P

1. 1. Determine the distance
between the two points
(5,2) and (1,5).

2. 2. If the point P1(x,0) is
equidistant from P2(0,-6)
and P3(6,3). Find the
value of x.

3. 3. Draw the triangle with
the given vertices P1(4,7),
P2(3,2), and P3(-1,5), find
the lengths and determine
the type of triangle.

4. 4. Show that the points
P1(-1,7), P2(5,7), and
P3(2,1) are vertices of an
isosceles triangle.

5. 5. Show that the triangle
whose vertices P1(-5,7),
P2(11,9) and P3(7,1) is a
right triangle