Consider a regular \( 4 \times 4 \) grid of sixteen points, as in this picture: How many triangles can be formed whose corners lie on the grid? A triangle has to have nonzero area. Explain your answer.
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Step 1: Counting the number of points on the grid In a \(4 \times 4\) grid, there are 4 points on each side, so there are a total of \(4 \times 4 = 16\) points on the grid. Show more…
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