- #1
youngstudent16
- 59
- 1
Homework Statement
In the coordinate plane let ##A_i=(i,1)## for ##l\leq i\leq15##, and let ##A_i=(i-15,4)## for ##16\leq i \leq 30##. Find the number of all isosceles triangles, where all three vertices belong to the set ##\{A_1,A_2, \cdots,A_{30}\}##
Homework Equations
Knowing the number of vertices that are equal distance?
The Attempt at a Solution
I have really no idea what to do since I don't really know how to reword the question or of similar problems. I know that the vertices will all be equal distance apart from each other and however many vertices I have in the plane I will divide that by 3 to get the left over number of triangles. Is this some what in the right direction? Or any relevant wikipedia articles I can look at that might give me some insight. I know this is a weak attempt but I don't have background to know what to try really.
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