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'Isosceles Triangles' printed from http://nrich.maths.org/
This question is about isosceles triangles with an area of 9 cm$^2$.
Each vertex of the triangle must be at a grid point of a square grid,
so all the vertices will have whole number coordinates.
One of the vertices must be at the point (20, 20).
How many different triangles satisfy these four conditions?
Can you explain how you know that you have found them all?
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